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Surface Areas and Volumes
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31/07/2021 11:29 am
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Find the volume of a sphere whose surface area is 154 cm2. (Assume π = 22/7)
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31/07/2021 11:33 am
Let r be the radius of a sphere.
Surface area of sphere = 4πr2
4πr2 = 154 cm2 (given)
r2 = \(\frac{154 \times 7}{4 \times 22}\)
r = \(\frac{7}{2}\)
Radius is \(\frac{7}{2}\) cm
Volume of the sphere = \(\frac{4}{3}\) πr3
Volume of the sphere
= \(\frac{4}{3}\) x \(\frac{22}{7}\) x \((\frac{7}{2})^3\)
= 179 \(\frac{2}{3}\)
Volume of the sphere is 179 \(\frac{2}{3}\)cm3