a cylinder has a height of 16 feet and a diameter of 22 feet. what is its volume?

Answers

Answer 1

Question :-

A Cylinder has a Height of 16 Feet and a Diameter of 22 Feet . What is its Volume ?

Answer :-

Volume of Cylinder is 6084.5 Feet ³.

Explanation :-

As per the provided information in the given question, we have been given that the Height of Cylinder is 16 feet and the Diameter is given as 22 feet . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , first we need to find Radius of Cylinder .

Here, we will find the Radius :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Radius \: = \: \dfrac{Diameter}{2} \: }} [/tex]

[tex] \longmapsto \: \: \sf { Radius \: = \: \dfrac{ \: 22 \: }{2} \: } [/tex]

[tex] \longmapsto \: \: \bf { Radius \: = \: 11 \: Feet } [/tex]

Now, we will find Volume of Cylinder :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: ({11})^{2} \: \times \: 16 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 121 \: \times \: 16 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 1936 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22 \: \times \: 1936}{7}} \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{ \: 42592 \:}{7}} \\ [/tex]

[tex] \longmapsto \: \: \bf {Volume \: _{Cylinder} \: = \: 6084.5 \: Feet^{3}} [/tex]

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Formula Used :-

[tex] \Longrightarrow \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]

Where ,

R denotes to the RadiusH denotes to the Height
Answer 2
Given:Height= 16 feetDiameter= 22 feetTo find:

The volume of the given cylinder.

Solution:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {11}^{2} \times 16[/tex]

[tex]v = 6082.12338 \: {ft}^{3} [/tex]

[tex]v = 6082.12 \: {ft}^{3} (2 \: dp)[/tex]

Therefore, the volume of the given cylinder is 6082.12 cubic feets.


Related Questions

solve 86.5=2l+2(2l-40.75)

Answers

Answer:

[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]

l=28

Please help me answer this <3

Answers

Answer:

x = 30

Step-by-step explanation:

15 = 1/2x

multiply both sides of equation by 2

30 = x

Jen and Nikki are making bracelets to sell at the local market. They determined that each bracelet would have eight beads and two charms. Create 5 ordered pairs (charms, beads) that could be used to graph this relationship

Answers

Answer:

Step-by-step explanation:

Ordered Pair1: (8,2)

2:(8*2,2*2)=(16,4)

3:(8*3,2*3)=(24,6)

4: (8*4,2*4)=(32,8)

5: (8*5,2*5)=(40,10)

Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .

Answers

Answer:

[tex]x\geq-1.\overline{756}[/tex]

Step-by-step explanation:

[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]

What is 4/7 plus 5/28 in simplest form I am not sure

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

To add fractions, they must have common denominators

convert them to common denominators

4/7 × 4/4 = 16/28

now their denominators are the same

16/28 + 5/28

add the numerators

16 + 5 = 21

21/28

Both the numerator and the denominator can be divided by 7

3/4 is the simplest form

Multiply using cancellation:

2/50 x 5/18 =
3/4 x 4/9 =
7/8 x 2/5 =
HELP PLEASE!!!!!!

Answers

Answer:

This is how you simplify them

Step-by-step explanation:

1) 1/90

2) 1/2

3) 7/20

What is the base 10 representation of 11102?

Answers

Answer:

1.1102 * 10^4

Step-by-step explanation:

11102

= 1.1102 * 10^4

Answer:

14

Step-by-step explanation:

The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.

Susan runs 2 1/2 miles in 0.25 of an hour.what is the unit rate in miles per hour?

Answers

Susan runs 10 miles per hour

plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi

Answers

Answer:

Figure of the function is included below as attachment.

Step-by-step explanation:

Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.

x-Intercepts

x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:

[tex]\cos x = 0[/tex]

In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Maxima

Maxima are those points of the function such that [tex]y = 1[/tex]. That is:

[tex]\cos x = 1[/tex]

In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Minima

Minima are those points of the function such that [tex]y = -1[/tex]. That is:

[tex]\cos x = -1[/tex]

In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.

What is the solution to the inequality?​

Answers

Answer:

B.

Step-by-step explanation:

-6<x<6

Question 19 (5 points)
1199
100"
12
88
15
116"
18
Determine the value of x.
OA) 59°
B) 63°
OC) 90°
OD 117°

Answers

Answer:

The value of x is 63° ⇒ B

Step-by-step explanation:

The rule for finding the sum of the interior angles of a polygon with n sides is S = (n - 2) × 180°

In the given figure

There is a polygon with 5 sides

n = 5

∴ S = (5 - 2) × 180°

∴ S = 3 × 180°

S = 540°

→ We have the measure of 4 angles of them    

∵ The sum of the 4 given angles =  119° + 100° + 88° + 116°

∴ The sum of the 4 given angles = 423°

→ To find the 5th angle subtract 423° from 540°

∵ The measure of the fifth angle = 540° - 423°

∴ The measure of the fifth angle = 117°

→ x and 117° are linear pair angles, then their sum is 180°

x + 117° = 180°linear pair angles

→ Subtract 117 from both sides to find x

∴ x + 117 - 117 = 180 - 117

x = 63°

Find the midpoint M of the line segment joining the points P= (-7,-8) and Q = (3,2)

Answers

Answer:

(-2, -3)

Step-by-step explanation:

To solve this problem, we use the midpoint formula.

M = [tex]\frac{x1 + x2}{2} , \frac{y1+ y2}{2}[/tex]

Plug your coordinates in:

M = [tex]\frac{-7 + 3}{2} , \frac{-8 + 2}{2}[/tex]

Simplify:

M = [tex]\frac{-4}{2} , \frac{-6}{2}[/tex]

M = (-2,-3)

36. Please help me it’s my last question

Answers

Answer:

7in. in length and 6in. in width.

Step-by-step explanation:

Divide the number of feet by 3.

I NEED HELP ASP!!!!! 3

Answers

Answer: what answer???

Step-by-step explanation: there's no equation

Write a slop-intercept equation for a line that passes through (4,0) and (-5,6)

Answers

Answer: -2/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6-0/-5-5

-6/9

-2/3

Answer:

y=-2/3x+10 1/3

Step-by-step explanation:

y=mx+b (m = slope)

(Equation) y2-y1/x2-x1

= 6-0/-5-4

= -6/9

= -2/3

y-y1 = m(x-x1)

y-6 = -2/3 +5

y-6 = 4 1/3

y = 10 1/3

Rick has a magnet shaped like a right rectangular prism which is 8 cm long, 4 cm wide, and 2 cm high. What is the volume in cubic cm?​

Answers

Answer:

the answer is 64 because you need to multiply all of them together to get the cubic volume. first you multiply 8 x 4 and that leaves you with 32. 32 x 2 is 64 and there are no numbers left to that means 64 is the cubic volume.

Please help it's due today!!!!!!

Answers

Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

A test has been developed to detect a particular type of arthritis in individuals over 50 years old. From a national survey it is known that approximately 10% of the individuals in this age group suffer from this form of arthritis. The proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease. What is the probability that an individual has this disease given that the test indicates its presence

Answers

Answer:

The probability that an individual has this disease given that the test indicates its presence is 0.1

Step-by-step explanation:

Let A be the event which indicates Having disease

Let B be the event in which test indicates that disease presence

Now we are given that 10% of the individuals in this age group suffer from this form of arthritis

So, P(A)=0.1

We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.

P(B|A)=0.85

Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease

So,P(B|A')=0.04

We are supposed to find  the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)

So we will use Bayes theorem

[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]

[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]

Hence the probability that an individual has this disease given that the test indicates its presence is 0.1

a product p and six is wrtten as

Answers

Answer:

6p

Step-by-step explanation:

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

Let P be a point not on line k Let p be the image of P after a reflection about the line K and let A any point on line k. Determine whether each statement below is true for all points P true for some points P or not true for any points P

Answers

Answer: true false some true

Step-by-step explanation:

Your grandma pays upfront for you to go on an overnight trip with the school, which costs $340. You make a deal that you’ll give her $25 per month until you pay it all back. How will you pay Grandma?

Answers

Answer:

350

Step-by-step explanation:

pretty easy just dived

You pay $350 to Grandma.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Grandma  pays upfront for you to go on an overnight trip with the school, which costs $340.

And, You make a deal that you’ll give her $25 per month until you pay it all back.

Now,

Let the number of months to pay Granma = x

Then, we can formulate;

$25x = $340

x = 13.6

After rounding,

x = 14

So, We pay 14 months to grandma;

Hence, The cost to pay grandma in 14 months = 14 x $25

                                                                        = $350

Therefore, You pay $350 to Grandma.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2


The graph shows the cost for a crate of the flowers Molly is planting in her garden.

What is the cost of 4 crates of flowers?

Answers

Answer:

Little late but its 10

Step-by-step explanation:

Answer:

3 weeks Late my bad, but why let the question go to waste, the answer is 10

A chord in a circle is 16cm long and its perpendicular distance from the centre is 6cm. what is the radius of the circle​

Answers

Answer:

10 cm

Step-by-step explanation:

the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as

r^2 = 6^2 + 8^2


Refer to the table on the previous slide to help answer
the questions.
What is the proportional relationship represented by the
table

Answers

It has a steady line the entire way

Answer:

It has a steady line the entire way

Step-by-step explanation:

The johnsons just moved into their new home and are selecting furniture for the family room

Answers

Question??? Bjdjzjdvhfjdodjfbhc

Lily uses the function f(x)+ 23,000(1.021) X( power) to model the future annual population growth of the city where she lives, Which of the following respresents Lily's estimate population in 8 years
a 3,395
b 23,483
c 27,160
d 187,864

Answers

Answer: The answer is B, 23,483

Step-by-step explanation:

If you multiply 23,000 times 1.021 you get 23,483. Your welcome

The Lily's estimate population in 8 years is 187864.

It is required to find the population in 8 years.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The function f(x)= 23,000(1.021) X( power) to model the future annual population growth of the city.

According to given question we have,

To put x= 8 years

Lily's estimate population in 8 years are

f(x)= 23,000*(1.021) *8

f(x)= 187864

Therefore, the Lily's estimate population in 8 years is 187864.

Learn more about arithmetic here:

brainly.com/question/18607048

#SPJ6

can someone make this for me with a compass but just different colors please

Answers

Answer:

so basically you want a drawing identical to that just with different colours?

Please answer this as fast as you can.

Answers

156 bins are left over
156 bins for sure....

If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow?

Answers

Answer:

The probability that exactly 2 don't grow is 0.075 or 7.5%

Step-by-step explanation:

Binomial Distribution

Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Where  

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.

The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.

Apply the formula:

[tex]\displaystyle P_{8} = {10 \choose 8} \cdot 0.95^{8} \cdot 0.05^{10-8}[/tex]

[tex]\displaystyle P_{8} = 45\cdot 0.95^{8} 0.05^{2}[/tex]

[tex]\displaystyle P_{8} = 0.075[/tex]

The probability that exactly 2 don't grow is 0.075 or 7.5%

5. The list of ordered pairs below represents a function: (12, 6), (3, 1), (2,-2), (5, 10), (-8,-4) Which of the following could be the missing ordered poin? 8. A. (21) B. (12,7 C.-8. B D.-3.-4 will mark brainiest answer us not b​

Answers

Answer:

21

Step-by-step explanation:

just took the test

Answer

I believe D or C

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

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