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

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​

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  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

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