Question

21
If the base radius of 2 cylinders are in the ratio 3:4 and their heights are in the ratio 4:9,
then the ratio of their volumes is:​

Answer 1

Step-by-step explanation:

radius of cylinder 1 = r1 = 3x

radius of cylinder 2 = r2 = 4x

height of cylinder 1 = h1 = 4x

height of cylinder 2 = h2 = 9x

volume of cylinder 1(v1) = π × r1 × r1 × h1

= π × 3x × 3x × 4x

volume of cylinder 2(v2) = π × r2 × r2 × h2

= π × 4x × 4x × 9x

v1 / v2 = 1/4 = 1:4

Answer 2

V1:V2 = 1:4

Hope this helps you ! :)