If TSA of a solid hemisphere is 462 cm2. Find its volume.
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TSA of hemisphere = 3πr²
462 cm² = 3×22×r²/7
462 cm² = 66r²/7
462 cm² × 7/66 = r²
49 cm² = r²
√49 cm² = r
7 cm = r
VOLUME of sphere
= 2/3πr³
= 2/3×22/7×(7 cm ×7 cm ×7 cm)
= 2/3×22×7 cm ×7 cm × 1cm
= 2156 cm³/3
= 718.6 cm³
so the VOLUME of hemisphere is = v = 718.6 cm³
462 cm² = 3×22×r²/7
462 cm² = 66r²/7
462 cm² × 7/66 = r²
49 cm² = r²
√49 cm² = r
7 cm = r
VOLUME of sphere
= 2/3πr³
= 2/3×22/7×(7 cm ×7 cm ×7 cm)
= 2/3×22×7 cm ×7 cm × 1cm
= 2156 cm³/3
= 718.6 cm³
so the VOLUME of hemisphere is = v = 718.6 cm³
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