Question

if the height of two right circular cylinder are in the ratio 3:4 and perimeter are in the ratio 1:2 the find the ratio of their volume
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Answer 1

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Answer 2

Given :-

If the height of two right circular cylinder are in the ratio 3:4 and perimeter of bases are in the ratio 1:2  

To Find :-

Ratio of volume

Solution :-

Let

Height of 1st cylinder be 3h

Height of 2nd cylinder be 4h

Now

Perimeter is proportional to radius in a circle.

Radius of 1st cylinder be r

Radius of 2nd cyline be 2r

Now

Let the volume be V/V'

V/V' = πr²h/πr'²h'

V/V' = πr² × (3h)/π(2r²) × (4h)

V/V' = πr² × 3h/π × 4r² × 4h

V/V' = 3πr²h/16πr²h

V/V' = 3/16

Hence

Ratio is 3:16