Question

the ratio of height of two cylinders is 5 ratio 3 as well as the ratio of their radius is 2 ratio 3 find the ratio of their volumes of the cylinders

Answer 1

hey
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height be 5x and 3x

radius be 2y and 3y

volume of cylinder = πr^2h

•πr^2h /πr^2h

=π×2y×2y ×5x / π×3y×3y ×3x
=2×2×5/3×3×3
=20/27

•hence ratio is 20:27

•for the calculation refer to the attachment

hope helped
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Answer 2

Solutions :-

Given :
The height of two cylinder are in the ratio of 5:3
and their radii are in the ratio of 2:3

Find the ratio of their curved surface area :-

We know that,
Volume surface area of cylinder = πr²h

(22/7 × 2 × 2 × 5)/(22/7 × 3 × 3 × 3)
= (2 × 2 × 5)/(3 × 3 × 3)
= 20/27


Hence,
The ratio of their curved surface area = 20 : 27

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