Question

if the height of two right circular cylinders are in the ratio 3:4and perimeters are in ratio 1:2, then find the ratio of their volumes.​

Answer 1

Given :  Complete Question is 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 their volume. ​

Solution:

Perimeter of circle ∝   radius

perimeter of bases are in the ratio 1:2

Hence radius of base are in ratio 1 : 2

Let say radius  are   r   & 2r

height of two right circular cylinder are in the ratio 3:4

Let say height are  3h  & 4h

Volume of cylinder = πr²h

Volume of 1st cylinder = πr²(3h) = 3πr²h

Volume of 2nd cylinder = π(2r)²(4h) =16πr²h

Hence  ratio of their volume. is

3πr²h : 16πr²h

= 3 : 16

3:16 is the ratio of their volume. ​  if height are in the ratio 3:4 and perimeter of base are in the ratio 1:2

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Answer 2

Hope it will help you to understand