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Question
If the surface area of a sphere is 144π m2, then its volume (in m3) is
Options
288 π
316 π
300 π
188 π
Solution
In the given problem,
Surface area of a sphere = 144 π m2
So,
` 4 pi r^2 = 144 pi `
`r^2 = 144/4`
`r^2 = 36`
`r = sqrt(36)`
r = 6
Now, using the formula volume of the sphere, we get
`4/3 pi r^3 = 4/3 pi (6)^3`
` = 4/3 pi (216)`
`= 288 pi`
Therefore, volume of the sphere is `288 pi` .
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