Question

A cone of height 15cm and base diameter 30cm is carved out of a wooden sphere of radius 15cm .The percentage of wasted wood is

Answer 1

This is a question on volume.

Volume of the sphere = 4/3πr³

Volume of a cone = 1/3πr²h

Doing the substitution :

V of the sphere = 4/3 × 3.142 × 15³ = 14139

V of cone = 1/3 × 3.142 × 15² × 15 = 3534.75

The difference :

14139 - 3534.75 = 10604.25

This is the volume that has been wasted.

The percentage is :

10604.25/14139 × 100% = 75%

Answer 2

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