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Question

Find the volume of a sphere whose surface area is 154cm2. (Assume π=227)


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Solution

Step 1: Find the radius of the sphere based on given information

Given, the surface area =4πr2

154=4×227×r2

r2=154×74×22r2=494

r=72cm [ Taking the square root ]

Step 2: Find the volume of a sphere

Volume of sphere =43πr3

=43×227×723=43×227×42.875=179.67cm3

Hence, the volume of a sphere is 179.67cm3.


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