Question

Cylinder A
What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

Answer 1

the correct answer is 3/4

Explanation:

i took the quiz

Answer 2

Given:

For cylinder A:

Radius = 3 unit

Height = 4 unit

For cylinder B:

Radius = 4 unit

Height = 3 unit

To find the ratio of the volume of cylinder A to the volume of cylinder B.

Formula

The volume of a cylinder is,

`V = \pi r^(2) h`

where, r be the radius and

h be the volume of the cylinder.

Now,

For cylinder A

Putting, r = 3 and h = 4 we get,

Volume
`V_(A)` =
`\pi (3^(2) )(4)`

or,
`V_(A) = 36\pi`

For cylinder B

Putting, r = 4 and h = 3 we get

Volume
`V_(B)=\pi (4^(2) )(3)`

or,
`V_(B)= 48\pi`

Now,

The ratio
`(V_(A) )/(V_(B)) = (36\pi)/(48\pi)`

or,
`(V_(A) )/(V_(B)) = (3)/(4)`

Hence,

The ratio of the volume of Cylinder A to the volume of Cylinder B is
`(3)/(4)`. Option A