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Question
Find the volume of a sphere whose surface area is 154 cm2.
`["Assume "pi=22/7]`
Solution
Let the radius of the sphere be r.
Surface area of sphere = 154 cm2
⇒ 4πr2 = 154 cm2
`rArr r^2=((154xx7)/(4xx22))cm^2`
r2 = `(7/2) cm` = 3.5 cm
Volume of sphere = `4/3pir^3`
= `[4/3xx22/7x(3.5)^3]cm^3`
= `179 2/3 cm^3`
Therefore, the volume of the sphere is `179 2/3 cm^3`.
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