Question
A hemisphere has a total surface area of 604.8 cm².
Calculate the volume of a sphere that has the same radius as the given hemisphere. (Take π = 3.15)Solution
Total surface area of the hemisphere = 3 × π × radius2 = 3 × 3.15 × radius2 = 604.8 So, radius2 = 604.8 ÷ (3 × 3.15) = 64 So, radius = √64 = 8 cm So, volume of the sphere with the same radius = (4/3) × π × radius3 = (4/3) × π × radius3 = (4/3) × 3.15 × 83 = 2150.4 cm3
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