Q9 of 67 Page 195

If surface area of a sphere is 5544 cm2, then find the volume of the sphere.

Surface area of sphere = 5544 cm2


Let r be the radius of sphere


⇒ 4πr2 = 5544


⇒ πr2 = 1386


⇒ × r2 = 1386


⇒ r2 = 63 × 7


⇒ r2 = 441


⇒ r = ± 21


r is radius and radius cannot be negative thus r = 21


volume of sphere = πr3


= × × 21 × 21 × 21


= 4 × 22 × 3 × 7 × 21


= 38808 cm3


Therefore, volume of the sphere is 38808 cm3


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