Question

find the volume of sphere whose surface area is 616 cm3

Answer 1

Hello Mate!

Volume of sphere = 4/3 πr³ __(i)

Surface area of sphere = 4πr²

616 cm² = 4πr²

616 / 4π = r²

√49 = r => radius = 7 cm

Now, in expanding eq (i)

Volume of sphere = ⅓ × 4πr² × r

Volume of sphere = ⅓ × 616 cm² × 7 cm

Volume of sphere = 1437.3 cm³

Hence volume of sphere is 1437.3 cm³.

Have great future ahead!