Question

Find the ratio of the volumes of two cylinders with equal heights, if the radius of one is double the radius of the other

Answer 1

Let the radius of first cylinder be r and the radius of another cylinder be R and both cylinders have same height.

Given,

R=2r

So, the ratio of volume of both cylinders are

πr2h/πR2h

As both cylinders have same height the height and π will get cancelled from the volumes of both cylinders. So we get,

r2/R2

r2/(2r)2 (as R=2r)

r2/4r2

Both r2 will get cancelled and we get,

1/4

So the ratio of volumes of both cylinders are 1:4.

Answer 2

Answer:

I am attaching the file

Step-by-step explanation:

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