Question

if the height of two right circular cylinders are in the ratio3:4 and perimeters are in the ratio 1:2,then find the ratio of their volumes ​

Answer 1

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

Answer 2

Answer:

3:16 is the volume ratio.

Step-by-step explanation:

............................................