1.

Find the volume of a sphere whose surface area is 154cm^2

Answer»

Surface area of sphere = 4 pi r^2

=> 154 = 4 × 22 × r^2 / 7

=> r^2 = 154 × 7 / 22 × 4

=> r^2 = 7 × 7 / 4

=> r = 7/2

Volume = 4/3 pi r^3

= 4 × 22 × 7 × 7 × 7 / 3 × 7 × 2 × 2 × 2

= 11 × 7 × 7 / 3

= 179.67 cm^3


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