Question

The surface area of two spheres are in the ratio 16:9. The ratio of their volumes is: (a) 64:27 (b) 16:9 (c) 4:3 (d) None of these​

Answer 1

Answer:

64:27

Step-by-step explanation:

Formula of Surface Area of Sphere is 4πr^2

Let radius of two spheres be r and R respectively.

So, 4πr^2 :4πR^2 = 16:9

r^2 : R^2 = 16:9

r : R = 4:3

Volume of Sphere is 4/3πr^3

Therefore, V1 : V2 = r^3 : R^3 = 64 : 27