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Volumes of Cylinders

In this worksheet, students calculate the volume of cylinders given their diameter and height.

'Volumes of Cylinders' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Volume and Capacity

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

A cylinder can be considered as lots of circular discs stacked one above the other.

 

 

If the area of each circular disc is A and the height of the stack is h, then the volume = Ah.

 

 

Remember that the area of a circle with radius r = πr2

We can write this instead of A, so the volume of a cylinder with radius r and height h = πr2h

 

 

Example

Find the volume of this cylinder in cm3 to 3 significant figures.

 

Answer

Diameter = 6 cm

Radius = 6 ÷ 2 = 3 cm

Height = 12 cm

 

Volume = πr2h = π × 32 × 12 = 339.29 ≈ 339 cm3 (3 s.f.)

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

 

  • Question 1

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
311
EDDIE SAYS
The diamater is 6, so we need to half it to find the radius. π × 3² × 11
  • Question 2

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
503
EDDIE SAYS
The diamater is 8, so we need to half it to find the radius π × 4² × 10
  • Question 3

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
475
EDDIE SAYS
The diamater is 11, so we need to half it to find the radius π × 5.5² × 5
  • Question 4

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
216
EDDIE SAYS
The diamater is 5, so we need to half it to find the radius π × 2.5² × 11
  • Question 5

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
1410
EDDIE SAYS
The diamater is 15, so we need to half it to find the radius π × 7.5² × 8
  • Question 6

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number)

 

 

CORRECT ANSWER
283
EDDIE SAYS
The diamater is 6, so we need to half it to find the radius π × 3² × 10
  • Question 7

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

CORRECT ANSWER
56.5
EDDIE SAYS
The diamater is 3, so we need to half it to find the radius π × 1.5² × 8
  • Question 8

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

CORRECT ANSWER
113
EDDIE SAYS
The diamater is 4, so we need to half it to find the radius π × 2² × 9
  • Question 9

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

CORRECT ANSWER
1820
EDDIE SAYS
The diamater is 17, so we need to half it to find the radius π × 8.5² × 8
  • Question 10

Find the volume of this cylinder in cm3 to 3 significant figures.

(just write the number) 

 

 

CORRECT ANSWER
614
EDDIE SAYS
The diamater is 12.5, so we need to half it to find the radius π × 6.25² × 5
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