A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.
The remaining solid is to be painted on all its surfaces. Find the area that will be covered in paint.

A Cylinder With Base Radius Of 4 Cm And A Height Of 7 Cm Is Removed From The Cuboid.The Remaining Solid

Answers

Answer 1

the total area will be covered in the paint will be 2143.9cm²

What is cylinder?

Two parallel, identical bases connected by a curving surface form a 3D solid shape known as a cylinder. Similar to a disc in shape, these bases. The axis of the cylinder shape is a line drawn through the middle of, or connecting, two circular bases. Perpendicular distance is the measurement separating the two bases, and it is denoted by the letter "h," which stands for height. The distance between the two circular bases' centers and outer edges is known as the cylinder's radius and is denoted by the letter "r". A rectangle and two circles combine to form the cylinder.

A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.

Volume of cuboid is = 16*15*24 = 5760 cm³

Volume of the cylinder = π r² h = π* 4² *7 = 351.85 cm³

So the surface area of the cylinder = 2π r h = 2*π*4*7 = 175.9 cm²

Total area of the cuboid = 2(240+360+384) = 1968

Toatl area = 1968+175.9 = 2143.9cm²

So the total area will be covered in the paint will be 2143.9cm²

Learn more about cylinder, by the following link

https://brainly.com/question/9554871

#SPJ1


Related Questions

3. A game console originally is priced at $120. Demand increases the cost by 75%. What is the new price? Show your work ​

Answers

Answer:

New price = $210

Step-by-step explanation:

Given:

Original price = $120

Increase in cost = 75%

Find:

New price

Computation:

New price = Original price + Increase in cost

New price = 120 + 120(75%)

New price = 120 + 90

New price = $210

se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el area que se va a pintar?​

Answers

Answer:

El área total a pintar será:

[tex]A_{tot}=25.2\: m^{2}[/tex]

Step-by-step explanation:

Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.

El área de un triángulo es:

[tex]A_{t1}=\frac{b*a}{2}[/tex]

b es la longitud de la base (b=3 m)

a es la apotema, osea la altura del triangulo (a = 2.8)

[tex]A_{t1}=\frac{2.8*3}{2}[/tex]

[tex]A_{t1}=4.2\: m^{2}[/tex]

Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.

[tex]A_{tot}=25.2\: m^{2}[/tex]

Espero te haya sido util!

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh

Answers

Answer:

She scored in the 90th percentile.

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.

This means that [tex]\mu = 725, \sigma = 115[/tex]

She must score better than at least 75% of the students who took the test.

So her z-score should have a pvalue of at least 0.75.

Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?

We have to find the pvalue of Z when X = 874.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{874.5 - 725}{115}[/tex]

[tex]Z = 1.3[/tex]

[tex]Z = 1.3[/tex] has a pvalue of 0.9032

She scored in the 90th percentile.

Will Harriet be admitted?

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

A train travels 4.4 miles in
4 minutes. At this rate, how many miles will it
travel in 58 minutes?

Answers

Answer:

63.8 miles

Step-by-step explanation:

If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.

4.4/4 = 1.1

So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.

11x580 = 5800+ 580 = 6380

Since we multiplied both numbers by 10, we have to divide 6380 by 100.

6380/100 = 63.8

So, the train travels 63.8 miles in 58 minutes.

How many types of congruence criterion are in total.Name them​

Answers

Answer:

Various types of Congruency are:

1. ASA (Angle Side Angle)

2. SSS (Side Side Side)

3. SAS (Side-Angle-Side)

4. AAS (Angle-Angle-Side)

5. RHS (Right angle-Hypotenuse-Side)

As of what I had learned (class 9) this is all but I am not sure if there are more

وبوبوبنبىبىبىبىبىبىبىىبنبهزا

You can afford 1,100 per month monthly mortgage. You've found a 30 year loan at 7% interest.
How much total money will you pay the loan company?
How much of that money is interest?

Real answers only please

Answers

Answer:

These days — with conventional mortgage rates running about 4% — a $1,000 monthly Principle & Interest (P&I) payment gets you a 30-year loan of about $210,000. Assuming a 10% downpayment, that's a $235,000 home

i think this is a similar answer please try to answer this question by the help of this...

I WILL GIVE BRAINLIEST-- Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer

Answers

$30.24
$35 x 20% = $7
$35 - $7= $28
$28 x 8% = $2.24
$28 + $2.24 = $30.24

I dont understand it​

Answers

Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

Math sucks helppppp pls

Answers

Answer:

B

Step-by-step explanation:

Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle

= ½*2πr + 2(L + W) - L

Where,

r = 8

π = 3.14

L = 16

W = 12

Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16

= 25.12 + 56 - 16

Perimeter of the composite figure = 65.12 inches

Area of the composite figure = ½(πr²) + L*W

= ½(3.14*8²) + 16*12

= 100.48 + 192

Area = 292.48 square inches

Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7

Answers

y=3x+1

explanation
4=3(0)+b
4=3+b
b=1

If the ratio of AB:BC is 7:4,
what is the length of AB?

If the ratio of AB:AC is 8:7, what is the length of AC?

PLZ HELP

Answers

Answer:

The answer will be :-

2. AB = 31.5 in

3. AC = 5.25 in

which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2

Answers

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

Change 5 into a rational number a/b

Answers

Answer:

[tex]\frac{5}{1}[/tex]

Step-by-step explanation:

what is the value of h

Answers

Answer:

h = 5.318 m

Step-by-step explanation:

6.5/11 = h/9

0.5909 = h/9

h = 5.318

Answer:

Height: 5.32

Step-by-step explanation:

Area=29.24

Heron's Formula

Which of the following inequalities does the graph represent

Answers

Answer:

di KO kaya sorry kahit ako dipa KO talks dyan

Write 45.21% as a decimal

Answers

Answer:

.4521

Step-by-step explanation:

when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00

Answer:

0.4521

Step-by-step explanation:

Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.

45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:

45.21 ÷ 100 = 0.4521

Shortcut: When you divide anything by 100, just move the decimal point two places to the left.

Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.

(hope this helps can i plz have brainlist :D hehe)

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]

Answers

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

[tex]p_{1}=\frac{30}{120}=0.25[/tex]

[tex]p_{2}=\frac{32}{160}=0.2[/tex]

Second, calculate standard deviation for each proportion:

[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]

[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]

Now, we calculate standard error for difference:

[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]

[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

[tex]p_{1}-p_{2}[/tex] ± z-score.SE

[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].

Write the multiples for the
odd numbers between 1 and 10.

Answers

Answer:

3, 6, 9

Step-by-step explanation:

please i really need help!!! thnakss

Answers

Answer:

The first answer will be 96 batches and the second one will be 0.90 cents per batch

Step-by-step explanation:

Hope this Helped

10. A can of coconut milk is 12 cm high and 8 cm in diameter. Calculate the volume of the can.

Use 3 as a value for π.

Answers

Answer: [tex]384cm^2[/tex]

Step-by-step explanation:

Volume is base* height

the base a the circle

area of a circle: [tex]\pi r^2[/tex]

the radius is 1/2 of the diameter, so it's 4

[tex]3*(4^2)=\\3*16= 48[/tex]

To find the volume I multiplied it by 8 (height)

[tex]48*8=384[/tex]

find all the numbers whose absolute value is -6 ​

Answers

Answer:

6

Step-by-step explanation:

:-)

For every 4 teaspoons of water is one cup of powder how many cups of powder do I need for 16 teaspoons

Answers

Answer:

4

Step-by-step explanation:16 divided y 4 is 4

The given number line shows the solutions to which inequality?

Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c

Answers

Answer:

the answer is c we just did this in class

help math eeekkkkkkk

Answers

Answer:

Step-by-step explanation:

2 z − 22 facorise fully

Answers

Answer:

Factorising fully

then

2z - 22

= 2( z - 11)

3. The students of Sunshine High School are raising money to
support the sports teams. A local organization donated boxes of
popcorn and candy for the students to sell. The freshmen are selling
boxes of popcorn for $1.50 each, and the sophomores are selling
boxes of candy for $3 each. The students' target is to raise at least
$650. The sophomores expect to sell at most 95 boxes of candy. Let
x represent the number of boxes of popcorn sold and y represent
the number of boxes of candy sold. Which system of inequalities
models the given situation?
A. 1.5x +3y > 650
y < 95
B. 1.5x +3y > 650
y < 95
C.
1.5x +3y < 650
y > 95
D.
1.5x +3y > 650
y < 95

Answers

I wish I could help you out here but I’m not that smart but good luck with your college class and I hope someone comes along and helps you out

Answer:

1.5x + 3y ≥ 650y ≤ 95

Step-by-step explanation:

Boxes of popcorn = x, each cost =  $1.50

⇒ total = 1.5x

Boxes of candy = y, each cost = $3

⇒ total = 3y

Total money raised, sum of the above two:

1.5x + 3y

Target is to raise at least $650:

1.5x + 3y ≥ 650

The sophomores expect to sell at most 95 boxes of candy:

y ≤ 95

The system of inequalities:

1.5x + 3y ≥ 650y ≤ 95

if anyone knows the answer​

Answers

Answer:

C. (x + 8) ( x - 8)

Step-by-step explanation:

x² - 64

= x² - 8²

= (x + 8) ( x - 8)

Hope it will help :)

The answer is (x+8)(x-8)

en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?​

Answers

Answer:

Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.

Step-by-step explanation:

lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar

Please help. I hope u r all safe. Please help thanks so much.

Answers

Answer:

189.3 cm^2

Step-by-step explanation:

split into a rectangle and a semi-circle

rectangle=LxW=10x15=150 cm^2

radius (r)=1/2 diameter=5 cm

semi-circle=1/2(pi)r^2=1/2(3.14)(5^2)=39.25 cm^2

150+39.25=189.25 cm^2

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