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

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

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        

Option b) 1 : 4

answer:

step-by-step explanation: