An ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of
14 cm. They are considering switching to a new container that is a rectangular prism whose base is
20 x 13 cm
The company wants the new container to have the same volume as the old container,
How tall should the new container be?
Round to the nearest tenth.
cm

Answers

Answer 1

Answer:

9.5

Step-by-step explanation:

Answer 2

The height of the rectangular container will be 9.47 cm.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid. For cylinders, we need the radius and the height of the cylinder.

Given that an ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of 14 cm. They are considering switching to a new container that is a rectangular prism whose base is 20 x 13 cm.

The height of the rectangular prism will be calculated as:-

( π / 4 ) X D² X H = L x W x H

( π / 4 ) X  14² X 16 =20 X 13 x H

H = [( π / 4 ) X  14² X 16] / ( 20 x 13)

H = 9.47 cm

Therefore, the height of the rectangular container will be 9.47 cm.

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Related Questions

The diagonals of square LMNP intersect at K. Given that LK = 1, find the measure of MP.

Answers

Answer:  MP = 2

========================================================

Work Shown:

LK = 1 is given

LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.

Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.

So,

LN = LK+KN

LN = 1+1

LN = 2

MP = LN

MP = 2

Katherine has a $10 gift certificate
for an online store. She chose a pair
of shoes that cost $32.78, and a
dress that cost $27.24. Shipping is
$5.22. If she uses her gift certificate,
what amount will she need to pay?

Answers

Answer:

Katherine will pay $55.24.

Step-by-step explanation:

32.78 + 27.24 + 5.22

= 65.24

65.24 - 10

= 55.24

Katherine will pay $55.24.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

9x + 22y ≥ 220

x + y ≤ 16

Step-by-step explanation:

First x is number of hours washing cars and y is number of hours tutoring.

He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.

That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.

He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.

please give thanks by clicking the heart button :)

The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.

What is equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.

Given:

Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,

Total working hour = 16

Total money to be earned = $220

Write the equation of the above statement as shown below,

x + y = 16

9x + 22y  = 220

Solve the above equation using a graph,

y = 5.85 and x = 16 - 5.85 = 10.2

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There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.

To the nearest meter, how many meters are in 474 inches?

Answers

12.04 meters is 474 inches so 12 would be closest

There are 27 students in Mrs. Augello’s math class. The number of boys is three less than the number of girls. Write a system of equations that represents the number of boys and girls.

Answers

Answer:

x + y = 27

y = x - 3

Step-by-step explanation:

x = # of girls

y = # of boys

first there are a total of 27 students so # of girls plus # of boys has to be 27.

then number of boys is 3 less than number of girls. This means x - 3 = y or y = x-3

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x is the amount of girls and y is the amount of boys

the system of equations would be
y=x-3
x+y=27

mark me brainliest if the answer is correct, thank you in advance :)

Use the order of operations to simplify 5(3 1/5 + 2 4/5) - 0.6.

A. 29.4
B. -16
C. 23 2/5
D. 30.6​

Answers

Answer:

A.  29.4

Step-by-step explanation:

5(3 1/5 + 2 4/5) - 0.6

5(6) - 0.6                                      parenthesis

30 - 0.6                                        multiplication

29.4                                              subtraction

The answer is A. 29.4!!!

​Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?

Answers

Answer:

35.6 miles per gallon.

I'm not sure but good luck :)

Step-by-step explanation:

Answer:

Just realized I gave you the wrong answer. Here's the right one below:

Step-by-step explanation:

(44 1/2)/(1 1/4)

(89/2)/(5/4)

(89/2)(4/5)

178/5

35 3/5 mpg

Sorry about that! :)

(y - 4) (5y + 6) = 0
Find the solutions

Answers

Answer:

Y=4,-5/6

Step-by-step explanation:

Answer:

1. y=4

2. y= -6/5

Step-by-step explanation:

PLEASE ANSWER ANYONE! IM GIVING MOST OF MY POINTS AWAY!

if quinn put $450 in a savings account that earned 3.5 interest, how much money would quinn have after 2 years? ***(use the simple interest formula I = pet to solve this problem)***

Answers

Step-by-step explanation:

I think it is $4,821 because that is what I got as an answer. I hope this helped!

Pls HELP I will give 20 points and brainliest

Answers

Area -78 cm²

perimeter-58

green=53/78

blue=23/78

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

The bird is made of 79 squares each square is 1u^2(u=unit, either cm or inch)

the area of the bird is 79u^2

the perimeter is 64u^2 you count all edges

51/79 squares are green, 51u^2

26/79 squares are blue, 26u^2

AMONG US CODE: BZPINF

Answers

it didn’t work, i think i’m a little late tho
Do another one pls I am the person from the game

7. Where is most of the Earth’s supply of water found?
A. in rivers
B. in lakes
C. in glaciers and icecaps
D. in the ground

Answers

This is approx values. So out of these options you’d say, in glaciers and icecaps.

Ocean water: 97.2 percent
Glaciers and other ice: 2.15 percent
Groundwater,: 0.61 percent
Fresh water lakes: 0.009 percent
Inland seas: 0.008 percent
Soil Moisture: 0.005 percent
Atmosphere: 0.001 percent
Rivers: 0.0001 percent.

What is the value of the expression below when z=3 and w =2
10z+ 5w

Answers

10(3) + 5(2)

30 + 10

40

40 is your answer!
10 x 3 = 30

5 x 2 = 10

10+30= 40

The answer is 40

If you have two 6-sided dice, each with the numbers 1-6 on a side, what is the theoretical probability of rolling 3 and 3 when both die are rolled together?

Answers

Answer:

The probability is 1/36

Step-by-step explanation:

Since we have two dies rolled together, the sample space is 36

What we mean by the sample space is the number of total possible results

So the total number of results that we can get is 36

Out of all our result, 3,3 can only appear once

so the probability of getting 3,3 on both dice is 1/36

Answer:

1/36

Step-by-step explanation:

Please answer !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

x = 55 degrees

Step-by-step explanation:

180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.

Answer:55

Step-by-step explanation:

Steps below

-8d-5d+7d=72 can you help me figure out d

Answers

Answer:

d = -12

Step-by-step explanation:

Add -8 -5 +7

take that number : -6

72 divided by -6 = -12

d = -12

Which are functions and which are not

Answers

Answer:

B, A, B

Step-by-step explanation:

the 1st A does not pass and the 1st B does(it passes the horizontal line test)

the 2nd A passed the 2nd B does not

the 3rd A passes (because one input corresponds to only one output) and the 3rd B does not pass

Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of side RV The length of side ST ​

Answers

Answer:

pentagon

is 14 units

cannot be determined

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of - Brainly.com

yw thanks for the points have a nice day :}

If we subtract half of a number from 20, we get 10, then the number equals; a) -20 b) 60 c) 20 d) -60

Answers

Answer:

Step-by-step explanation:

let the number be x

20-x/2=10

40-x=20

40-20=x

x=20

Please help me solve this answer.

Answers

Answer:

1 hour 2 min 20 sec

Step-by-step explanation:

Given

6 min video ⇒ 17 min upload

Upload time of 1 min video

1 min video ⇒ 17/6 min upload

Time to upload of 22 min video

22 min video ⇒ 22*17/6 = 62 1/3 min = 1 hour 2 min 20 sec upload

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
16
30

Answers

Answer:

the answer is 34.

Step-by-step explanation:

the Phythagorean theorem is a^2 + b^2 = c^2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

6x - 7 = 11 show the step as well please

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 7 = 11

First, add 7 to 11 which gets you 6x = 18

Then, divide 18 by 6 to solve for x which gets you 3

This means that x = 3

(hope this helps)

Answer:

Step-by-step explanation:

6x-7+11

(add 7 to both sides, canceling out the negative 7 on the left, and resulting in a sum of 18 on the right)

6x=18

(divide both sides by 6, which should isolate x because the sixes will cancel each other out, and give you a quotient of 3 on the right side)

x=3

What is the sum of the interior angles of a 14 sided polygon?

Answers

Answer:

2160 degrees

Step-by-step explanation:

The general equation to find the sum of interior angles in a polygon is;

[tex](n - 2) * 180[/tex]

Where "n" is the sides of the polygon.

Substitute in 14 for "n"

( 14 - 2 ) * 180

Solve;

( 14 - 2 ) * 180

12 * 180

2160

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Therefore we do (14-2)*180 which is 2160 degrees .

PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?

at right angles
toward each other
in a circular motion
parallel to each other

Answers

Answer:

at right angles

Step-by-step explanation:

Write the equation you would use to solve for X. Then solve.​

Answers

Answer:

Step-by-step explanation:

Do a calculation

What is the area???????

Answers

Answer: 56mm

Step-by-step explanation:

A=(a+b)/2 x h

A=(4+12)/2 x 7

A=16/2 x 7

A=8 x 7

A= 56mm

please solve thisss​

Answers

Answer:

1,570

Step-by-step explanation:

10×2=20

20×3=60

30×5=150

40×7=280

50×4=250

60×3=180

70×8=630

Now,

20+60+150+ 280 +250+ 280+ 630=1,570

this is the answer

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]

❀ Explanation :

✑ Let's Know about A.M ( Arithmetic Mean )

In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.

To calculate the average of the given type of data ( discrete series )  , follow the steps given below :

Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.

Remember :

[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]

Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .

( See the workings in attached picture )

Hope I helped!

♪ Have a wonderful day / night ツ

~~

what is the answer to 7x8(8/2)

Answers

Answer:

224

Step-by-step explanation:

1. first divide 8/2 in the parentheses which will give you 4

2. Then multiply 4 to 8 which will give you 32

3. finally multiply 32 to 7 which will give you an answer of 224

a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12 cubic feet per minute, find the rate at which the water level is dropping when radius of water level is 4ft.

Answers

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

is 0.01 less than 0​

Answers

Answer:

no

Step-by-step explanation:

No 0.01 is not less than 0

Because 0 means nothing

And

0.01 means have something

So

0.01>0

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