Q69 of 227 Page 917

The surface area of a sphere is 154 cm2. The volume of the sphere is

Given: The surface area of a sphere is 154 cm2.


TSA of the sphere is given by: 4 × π × r2


∴ 4 × π × r2 = 154


⇒ r2 = 154 × =


⇒ r2 = ⇒ r = √


⇒ r =


Now, Volume of hemisphere is given by: πr3


Let V be the Volume of the hemisphere


∴ V = × π × r3


⇒ V = × π × ()3 = cm3 = 179 cm3


∴ V = 179 cm3


That is Volume of the given sphere is 179 cm3

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