If the total surface area of a solid hemisphere is 462 cm2, find its volume.

Let the radius of solid sphere be r cm


Total surface area of solid hemisphere = 3πr2


Given, total surface area of solid hemisphere = 462 cm2


3πr2 = 462 cm2


3 × 22/7 × r2 = 462 cm2


r2 = 462 × 1/3 × 7/22 cm2 = 49 cm2


r = 7 cm


Volume of solid hemisphere = π r3


= 2/3 × 22/7 × 73 cm3


= 718.67 cm3


Volume of solid hemisphere is 718.67 cm3


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