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Question
The surface area of a sphere is 2464 cm2, find its volume.
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Solution
Surface area of the sphere = 2464 cm2
Let radius = r, then
4πr2 = 2464
`=> 4 xx 22/7 xx r^2 = 2464`
`=> r^2 = (2462 xx 7)/(4 xx 22) = 196`
`=>` r = 14 cm
Volume = `4/3pir^3`
∴ `4/3pir^3`
= `4/3 xx 22/7 xx 14 xx 14 xx 14`
= 11498.67 cm3
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