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6.05 Surface area of cylinders

Worksheet
Surface area of cylinders
1

Consider the following cylinder with its net:

a

Find the circumference of the circular base. Round your answer to four decimal places.

b

Find the area of the curved face of the cylinder. Round your answer to two decimal places.

2

For each of the following pairs of cylinders and their nets, find the curved surface area of the cylinder. Round your answers to two decimal places.

a
b
3

Find the total surface area of each of the following cylinders. Round your answers to two decimal places.

a
b
c
d
4

For each of the following cylinders:

i

Find the curved surface area of the cylinder. Round your answers to two decimal places.

ii

Find the total surface area of the cylinder. Round your answers to two decimal places.

a
b
c
d
5

Find the surface area of the following cylinders. Round your answers to two decimal places.

a
b
c
d
e
f
g
h
Dimensions from 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{ ft}^2. The total surface area of the cylinder is 14\,040 \pi \text{ ft}^2.

a

Find the radius, r, of the cylinder.

b

Find the height, h, of the cylinder.

8

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

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?

Applications
9

A cylindrical can of radius 7\text{ in} and height 10\text{ in} is open at one end. Find the external surface area of the can, correct to two decimal places.

10

Ivan 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.

11

Quiana 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 1358 \text{ cm}^2.

How many complete cans can she make?

12

Find the surface area of the brickwork for this silo correct to two decimal places. Assume that there is a brick roof and 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

Find the external surface area of a concrete pipe with outer radius 4 \text{ m}, inner radius 2 \text{ m} and length 8 \text{ m}, as shown in the figure. Round your answer to two decimal places.

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Outcomes

MA.7.GR.2.1

Given a mathematical or real-world context, find the surface area of a right circular cylinder using the figure's net.

MA.7.GR.2.2

Solve real-world problems involving surface area of right circular cylinders.

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