Question

Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B?

Cylinder B is 50% smaller than cylinder A.
Cylinder B is 25% smaller than cylinder A.
Cylinder B is 150% bigger than cylinder A.
Cylinder B is 200% bigger than cylinder A.

B?

Answer 1

Cylinder B is 25% smaller than cylinder

Explanation:

Radius of cylinder A = 12 inches

Height of Cylinder A = 6 inches

So, volume of cylinder A =
`\pi r^(2) h`

=
`\pi (12)^(2) (6)`

=
`864\pi`

Volume of cylinder B =
`648\pi`

Difference in Volumes =
`864\pi -648\pi`

=
`216\pi`

So, to find the percentage change in volume between cylinders A and B

`(216\pi)/(864\pi) * 100`

`25\%`

Hence Cylinder B is 25% smaller than cylinder .