Question

3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 ​ start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 ​ start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27 ​

Answer 1

(D)
`(27)/(16)`

Explanation:

Volume of a Cylinder =
`\pi r^2h`

Cylinder A

Height = 3 Units

Radius = 3 Units

`Volume =\pi * 3^2 * 3 =27\pi$ cubic units`

Cylinder B

Height = 4 Units

Radius = 2 Units

`Volume =\pi * 2^2 * 4 =16\pi$ cubic units`

`\frac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=(27\pi)/(16\pi)\\\\=(27)/(16)`

The correct option is D