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Question
If the surface area of a sphere is 2826 cm2 then find its volume. ( π= 3.14)
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Solution
Let the radius of the sphere be r cm.
Surface area of the sphere = 2826 cm2
∴ 4πr2 = 2826 cm2
⇒ r2 = ` [2826]/[4 xx 3.14]`
⇒ r2 = 225
⇒ r = `sqrt 225`
⇒ r = 15 cm
∴ Volume of the sphere = `4/3π"r"^3`
= `4/3 xx 3.14 xx (15)^3`
= 14130 cm3
Thus, the volume of the sphere is 14130 cm3.
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