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Grade 8

9.07 Surface area of cylinders

Worksheet
Surface area of cylinders
1

Find the surface area of the following cylinders:

Round your answers to two decimal places.

a
b
c
d
e
f
2

Consider the following cylinder:

a

Find the surface area of the cylinder to one decimal place.

b

Find the surface area of the cylinder in square millimetres to the nearest whole number.

3

The area of the circular face on a cylinder is 8281 \pi\text{ m}^2. The total surface area of the cylinder is 25\,662 \pi\text{ m}^2.

a

Find the radius of the cylinder.

b

Find the height of the cylinder.

4

The area of the circular face on a cylinder is 225\pi \text{ m}^2. The total surface area of the cylinder is 3210\pi \text{ m}^2.

a

Find the value of the radius of the cylinder.

b

Find the height of the cylinder.

5

The following cylinder has a surface area of 25\,547\text{ m}^2:

Find the height the cylinder. Round your answer to the nearest whole number.

6

The following cylinder has a surface area of 54\,425\text{ cm}^2:

Find the height the cylinder. Round your answer to the nearest whole number.

7

Find the surface area of the following figure.

8

A cylindrical can of radius 7\text{ cm} and height 10\text{ cm} is open at one end. What is the external surface area of the can? Round your answer to two decimal places.

9

Find the exact surface area of a cylinder with diameter 6\text{ cm} and height 21\text{ cm} by leaving your answer in terms of \pi.

10

Find the lateral surface area of a cylinder with a radius of 9.2\text{ m} and a height of 15.1\text{ m}. Round your answer to one decimal places.

Applications
11

Paul is using a toilet paper roll for crafts. He has measured the toilet paper roll to have a diameter 4\text{ cm} and a length 10\text{ cm}.

Find the surface area of the toilet paper roll. Round your answer to two decimal places.

12

A paint roller is cylindrical in shape. It has a diameter of 6.2\text{ cm} and a width of 38.1\text{ cm}.

Find the area painted by the roller when it makes one revolution. Round your answer to two decimal places.

13

The diagram shows a water trough in the shape of a half cylinder:

Find the exact surface area of the outside of this water trough, leaving your answer in terms of \pi.

14

Amy and Vincent each have a cylinder. Amy's cylinder has a diameter of 8\text{ cm} and a height of 9\text{ cm}. Vincent's cylinder has a diameter of 9\text{ cm} and a height of 8\text{ cm}.

a

Find the surface area of Amy's cylinder. Round your answer to two decimal places.

b

Find the surface area of Vincent's cylinder.

c

Which cylinder has a larger surface area? Round your answer to two decimal places.

15

Jenny wants to make several cans like the one shown. She plans to cut them out of a sheet of material that has an area of 1683\text{ cm}^2.

How many complete cans can she make?

16

If a spherical ball with a radius of 4.9\text{ m} fits exactly inside a cylinder, find the surface area of the cylinder.

17

The two identical spherical balls with radii of 2.6\text{ cm} fit exactly inside a cylinder.

Find the surface area of the closed cylinder.

18

Find the surface area of the brickwork for this silo. Assume that there is a brick roof and no floor.

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Outcomes

8.E2.3

Solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas.

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