Question

Find the volume of a sphere whose surface area is 2772 sq. Cm.​

Answer 1

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Answer 2

The volume of a sphere whose surface area is 2772 sq. Cm is 13723.46 cubic cm.​

• Let the radius of the sphere is r cm.
• So according to the problem the surface are of the sphere = $4\pi$(radius)^2 = $4\pi r^{2} =2772 cm^{2}$
• so this implies as r = $\sqrt[]( \frac{2772}{4\pi } )$ = 14.85223 cm
• Now volume of the sphere = $\frac{4}{3}\pi$(radius)^3 =  $\frac{4}{3}\pi r^{3} cm^{3}$
• So the volume of the sphere = $\frac{4}{3}*\pi *(14.85223)^{3} = 13723.46 cm^{3}$