Question

A sphere of maximum size is carved out of a solid wooden cylinder of diameter 15 cm and height 12 cm. Find the volume of the sphere in cms

Answer 1

Answer:

Volume of the sphere is 2121.428 cm³

Step-by-step explanation:

Diameter of a wooden cylinder =15cm

∴It's radius =15/2 =7.5cm

Height of a wooden cylinder=12 cm

Volume of the wooden cylinder=r²=22/7 * 7.5*7.5 *12=22/7 * 675=14850=2121.428 cm³

Since the sphere of a maximum size had been carved out as a wooden cylinder, the volumes of them are equal.

So volume of the sphere=Volume of a wooden cylinder=2121.428 cm³