surface area of a solid hemisphere is given in the problem by using relation of volume and surface area find the volume of hemisphere. Question from RS Aggarwal book. Exercise 17A.

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

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Total surface area of hemisphere = 3 × π × r²

Total surface area of hemisphere = 3 × 22/7 × r²

We are given that the total surface area of a solid hemisphere is 462 cm².

3 × 22/7 × r² = 462

∴ Radius of hemisphere is 7 cm.

Volume of hemisphere

=2/3 × π × r³= 2/3 × 22/7 × 7³

=

∴ Volume of hemisphere is