Find the volume of a sphere, if its surface area is 154 sq.cm.
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Answered by
3
4πrsquare= 154 sq.cm
4×π×r square= 154
r square=154×7/22×4
r= 7/2
Now,calculate by v=4/3π r cube
4×π×r square= 154
r square=154×7/22×4
r= 7/2
Now,calculate by v=4/3π r cube
Answered by
7
GIVEN :
Surface area of sphere = 154 cm²
Surface area of sphere = 4πr²
154 = 4 ×(22/7) × r²
154 × 7 = 88r²
r² = (154×7) /88
r² = (7 × 7 )/4
r² = 49 /4
r = √49/4 = 7/2
r = 7/2 cm
Volume of Sphere = 4/3 πr³
=( 4/3) × (22/7) × (7/2)³
= 4/3 × 22/7 × (7/2) × (7/2) × (7/2)
= (22 × 7 × 7) /(3×2)
=( 22 × 49) / 6= 1078/6 = 179.66 cm³
Volume of Sphere = 179.66 cm³
Hence, the Volume of Sphere is 179.66 cm³.
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