Q2 of 67 Page 195

The surface area of a sphere is 616 cm2. Find its volume.

Surface area of sphere = 616 cm2


Let the radius of sphere be r


Surface area of sphere = 4πr2


⇒ 4πr2 = 616


⇒ πr2 =


⇒ πr2 = 154


⇒ × r2 = 154


⇒ r2 =


⇒ r2 = 7 × 7


⇒ r = 7 cm


Volume of sphere = πr3


= × × 73


= × 22 × 72


=


=


= 1437.33 cm3


Therefore, volume of sphere is 1437.33 cm3


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