Question

Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 2 m and a height of 4 m. What is the ratio of the volume of cylinder A to the volume of cylinder B?

a: 5:6
b: 1:4
c: 1:2
d: 1:1

Answer 1

Note: The volume of a cylinder is:

radius² × π × height

First lets work out the volume of Cylinder A:

Volume = 1² × π × 4

= 4π m³

Now lets work out the volume of Cylinder B

Volume = 2² × π × 4

= 16π m³

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Now lets compare the volumes ( Cylinder A : Cylinder B) :

4π : 16π

Lets simplify this by dividing both sides by 4π:

4π : 16π ( ÷ 4π)

----> 1 : 4

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Answer:

Option b) 1 : 4