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in Surface Areas And Volumes by (26.9k points)
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If the surface area of a sphere is 144πm2, then its volume (in m3) is :

A. 288π 

B. 316π 

C. 300π 

D. 188π

1 Answer

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Best answer

Option : (A)

Surface area of a sphere = 4πr2 

Given, 

surface area of a sphere is 144πm2 

⇒ 4πr2 = 144π 

⇒ r = 6 m 

Volume of the sphere = \(\frac{4}{3}\) × π × 63 

⇒ Volume of the sphere = 288π m3

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