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