1.

The surface area of two spheres are in the ratio 9 : 16. Their volumes will be in the ratio1). 3 : 642). 9 : 273). 27 : 644). 64 : 729

Answer»

Surface area of a SPHERE = 4πr2

Volume of a sphere $(= \FRAC{4}{3}\pi {r^3})$

Ratio of surface area = (ratio of radius)2

Given, surface area of TWO spheres are in the ratio 9 : 16.

⇒ ratio of radius = 3 : 4

Ratio of volumes = (ratio of radius)3

⇒ Ratio of volumes $(= {\left( {\frac{3}{4}} \right)^3} = 27:64)$


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