Quiz about Surface Area and Volume of Cylinders

Question 1

Using the image of the cylinder, replace all of the values into the surface area formula:

$$S.A=2\pi r^2+2\pi rh$$

Accepted Answer

$$S.A=2\pi\left(10\right)^2+2\pi\left(10\right)\left(5\right)$$

Answer

$$S.A=2\pi\left(5\right)^2+2\pi\left(5\right)\left(10\right)$$

Answer

$$S.A=2\pi\left(10\right)^2+2\pi\left(10\right)\left(10\right)$$

Answer

$$S.A=2\pi\left(5\right)^2+2\pi\left(5\right)\left(5\right)$$

Question 2

Using the image of the cylinder, replace all of the values into the surface area formula:

$$S.A=2\pi r^2+2\pi rh$$

Accepted Answer

$$S.A=2\pi\left(8\right)^2+2\pi\left(8\right)\left(20\right)$$

Answer

$$S.A=2\pi\left(16\right)^2+2\pi\left(16\right)\left(20\right)$$

Answer

$$S.A=2\pi\left(20\right)^2+2\pi\left(20\right)\left(20\right)$$

Answer

$$S.A=2\pi\left(8\right)^2+2\pi\left(8\right)\left(8\right)$$

Question 3

Find the total surface area of a cylinder using the formula:

$$S.A=2\pi r^2+2\pi rh$$

Given the radius is 4 and the height is 8.

Accepted Answer

$$S.A=2\pi\left(4\right)^2+2\pi\left(4\right)\left(8\right)$$

Answer

$$S.A=2\pi\left(8\right)^2+2\pi\left(8\right)\left(4\right)$$

Answer

$$S.A=2\pi\left(8\right)^2+2\pi\left(8\right)\left(8\right)$$

Answer

$$S.A=2\pi\left(4\right)^2+2\pi\left(4\right)\left(4\right)$$

Question 4

Find the total surface area of a cylinder using the formula:

$$S.A=2\pi r^2+2\pi rh$$

Accepted Answer

$$S.A=2\pi\left(7\right)^2+2\pi\left(7\right)\left(14\right)$$

Answer

$$S.A=2\pi\left(14\right)^2+2\pi\left(14\right)\left(7\right)$$

Answer

$$S.A=2\pi\left(7\right)^2+2\pi\left(7\right)\left(7\right)$$

Answer

$$S.A=2\pi\left(14\right)^2+2\pi\left(14\right)\left(14\right)$$

Question 5

Calculate the total surface area of a cylinder using the formula:

$$S.A=2\pi r^2+2\pi rh$$

Given the radius is 6 and the height is 10.

Accepted Answer

$$S.A=2\pi\left(6\right)^2+2\pi\left(6\right)\left(10\right)$$

Answer

$$S.A=2\pi\left(10\right)^2+2\pi\left(10\right)\left(6\right)$$

Answer

$$S.A=2\pi\left(6\right)^2+2\pi\left(6\right)\left(6\right)$$

Answer

$$S.A=2\pi\left(10\right)^2+2\pi\left(10\right)\left(10\right)$$

Question 6

Calculate the total surface area of a cylinder using the formula:

$$S.A=2\pi r^2+2\pi rh$$

Given the radius is 12 and the height is 8.

Accepted Answer

$$S.A=2\pi\left(12\right)^2+2\pi\left(12\right)\left(8\right)$$

Answer

$$S.A=2\pi\left(6\right)^2+2\pi\left(6\right)\left(8\right)$$

Answer

$$S.A=2\pi\left(6\right)^2+2\pi\left(6\right)\left(6\right)$$

Answer

$$S.A=2\pi\left(8\right)^2+2\pi\left(8\right)\left(8\right)$$

Question 7

Using your calculator, evaluate $$A=2\cdot3.14\cdot r^2$$ given that r=4.

Accepted Answer

100.48

Answer

15.14

Answer

50.24

Answer

25.12

Question 8

Using your calculator, evaluate $$A=2\cdot3.14\cdot r^2$$ given that r=9.

Accepted Answer

508.68

Answer

428.78

Answer

12.56

Answer

113.04

Question 9

Using your calculator, evaluate $$A=2\cdot3.14\cdot r\cdot h$$ given that r=4 and h=6.

Accepted Answer

150.72

Answer

151.4

Answer

100.48

Answer

25.12

Surface Area and Volume of Cylinders

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