Calculate the diameter?

Question

A spherical bowl of radius rcm is a quarter full when 6 litres of water is poured into it.calculate, correct to 3significant figures the diameter of the bowl. [Take π=22/7

Answer 1

Spherical bowl is quarter full when 6 litres of water is poured into it. It implies that 4*6=24 litres is the volume of the bowl.

And 24 litres = 24000 cc

Volume of a spherical bowl = 4/3 * pi * r^3

24000 = 4/3 * 22/7 * r^3

or r^3 = (24000*3*7) / (4*22)

or r = 17.892 cm. (approx)

Comments

.: diameter=2x17.892cm=35.784cm