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5.04 Volume of cylinders

Worksheet
Volume of cylinders
1

Find the volume of the following cylinders. Round your answers to one decimal place.

a
b
c
d
e
2

Find the volume of the following cylinders. Round your answers to one decimal place.

a

A cylinder with a radius of 6 \text{ cm} and height of 15 \text{ cm}.

b

A cylinder with a radius of 7 \text{ cm} and height of 15 \text{ cm}.

c

A cylinder with a diameter of 2 \text{ cm} and height of 19 \text{ cm}.

3

Find the volume of the following concrete cylindrical pipes. Round your answers to two decimal places.

a
b
c
4

Find the volume of the following solids. Round your answers to two decimal places.

a
b
c
d
e
5

The following solid is 3\text{ cm} thick. Calculate the volume of the solid correct to one decimal place.

6

Consider a cylinder with a diameter of 14 \text{ cm} and height of 10 \text{ cm}.

a

Find the volume of the cylinder in cubic centimetres, rounded to one decimal place.

b

State the capacity of the cylinder in millilitres, rounded to one decimal place.

7

If the radius of a cylinder is 8 \text{ cm} and its height is 18 \text{ cm}, find the amount of water it can hold in litres. Round your answer to two decimal places.

Applications
8

There are two types of cylindrical soup cans available for Bob to purchase at his local store. The first has a diameter of 16 \text{ cm} and a height of 18 \text{ cm}, and the second has a diameter of 18 \text{ cm} and a height of 16 \text{ cm}.

State which type of can holds more soup, the first can or the second can.

9

A cylindrical swimming pool has a diameter of 5\text{ m} and a depth of 1.8\text{ m}.

a

How many litres of water can the pool contain? Round your answer to the nearest litre.

b

Express this amount of water in kilolitres.

10

About how many litres of water can this water cooler bottle contain? Round your answer to one decimal place.

11

Jack's mother told him to drink 3 large bottles of water each day. She gave him a cylindrical bottle with height 17\text{ cm} and radius 5\text{ cm}.

a

Find the volume of the bottle. Round your answer to two decimal places.

b

Assuming that he drinks 3 full bottles as his mother suggested, calculate the volume of water Jack drinks each day. Round your answer to two decimal places.

c

If Jack follows this drinking routine for a week, how many litres of water would he drink altogether? Round your answer to the nearest litre.

12

A wedding cake with three tiers is shown. The layers have radii of 51\text{ cm}, 55\text{ cm} and 59\text{ cm}.

If each layer is 20\text{ cm} high, calculate the total volume of the cake in cubic metres. Round your answer to two decimal places.

13

A hollow cylindrical pipe has the dimensions shown in the figure:

a

Calculate the volume of the pipe, correct to two decimal places.

b

The pipe is made of metal where 1\text{ cm}^{3} of the metal weighs 5.7\text{ g}.

Calculate the weight of the pipe to one decimal place.

14

A cylindrical tank with diameter of 3\text{ m} is placed in a 2 \text{ m} deep circular hole so that there is a gap of 40\text{ cm} between the side of the tank and the hole. The top of the tank is level with the ground.

a

What volume of dirt was removed to make the hole? Give your answer to the nearest cubic metre.

b

Find the capacity of the tank to the nearest litre.

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Outcomes

MS11-4

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

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