Question

The surface area of a sphere is 154 $c{m}^2.$ The volume of the sphere is

(a) $179\frac{2}{3}c{m}^3$ (b) $359\frac{1}{3}c{m}^3$ (c) $1437\frac{1}{3}c{m}^3$ (d) none of these

Answer 1

GIVEN :
Surface area of sphere = 154 cm²
Surface area of sphere = 4πr²
154 = 4 ×() × r²
154 × 7 = 88r²
r² = (154×7)

r² =

r = 3.5cm


Volume of Sphere = 4/3 πr³
=( ) × () × (3.5)³
= × (3.5) × (3.5) × (3.5)


= 179.66 cm³

Volume of Sphere = 179 cm³