2 Answers

Deoxxa · Answer 1 · 2021-08-14T18:40:34+0000

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

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