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5.02 Surface area of cylinders

Worksheet
Surface area of cylinders
1

Find the surface area of the following cylinders, correct to two decimal places:

a
b
c
d
e
2

Consider the following cylinder:

a

Find the surface area of the cylinder in square centimetres. Round your answer to one decimal place.

b

Hence, find the surface area of the cylinder in square millimetres.

3

Find the area of the curved surface of a cylinder with a radius of 9.5 \text{ m} and a height of 15.2 \text{ m}. Round your answer to one decimal place.

4

A cylindrical can of radius 5 \text{ cm} and height 6 \text{ cm} is open at one end. Find the external surface area of the can. Round your answer to two decimal places.

5

Emma and Carl each have a cylinder. Emma's cylinder has a diameter of 6 \text{ cm} and a height of 7 \text{ cm}. Carl's cylinder has a diameter of 7 \text{ cm} and a height of 6 \text{ cm}.

a

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

b

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

c

Which cylinder has a larger surface area?

6

Find the height, h, of the following closed cylinders given its surface areas, correct to the nearest whole number:

a

Surface area = 27\,288 \text{ mm}^{2}

b

Surface area = 54\,105 \text{ mm}^{2}

7

The area of the circular face on a cylinder is 6084 \pi \text{ m}^2. The total surface area of the cylinder is 14\,040 \pi \text{ m}^2.

a

Find the radius, r, of the cylinder.

b

Hence, find the height, h, of the cylinder.

Applications
8

If a spherical ball with a radius of 3.7 \text{ cm} fits exactly inside a closed cylinder, what is the surface area of the cylinder. Round your answer to one decimal place.

9

Two identical spherical balls with radii of 1.4\text{ m} fit exactly inside a cylinder as shown:

Find the surface area of the closed cylinder. Round your answer to one decimal place.

10

The following water trough is made out of sheet metal:

By calculating the external surface area, find the amount of sheet metal required. Round your answer to the nearest square metre.

11

Ivan is using a toilet paper roll for crafts. He has measured the toilet paper roll to have a diameter 8 \text{ cm} and a length 11 \text{ cm}.

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

12

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

13

A paint roller is cylindrical in shape. It has a diameter of 6.8\text{ cm} and a width of 31.2\text{ cm}.

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

14

Quiana wants to make several cans like the one on the right. She plans to cut them out of a sheet of material that has an area of 1358 \text{ cm}^{2}.

Assuming there is no wastage, how many complete cans can she make?

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Outcomes

MS11-4

performs calculations in relation to two-dimensional and three-dimensional figures

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