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Question
The curved surface area of a sphere is 5544 cm2. Find its volume.
Solution
Let the radius of the sphere be r.
As,
curved surface area of the sphere = 5544 cm2
`=> 4pi"r"^2 =5544`
`=> 4xx22/7xx"r"^2 = 5544`
`=> r^2 = 5544 xx 7/(4xx22)`
`=> r^2 = 441`
`= r = sqrt(441)`
= r = 21 cm
Now
Volume of the sphere `= 4/3 pi"r"^3`
`= 4/3 xx 22/7 xx 21 xx 21xx21`
= 38808 cm3
So, the volume of the sphere is 38808 cm3.
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