Question

If the area of the base of a right circular cone is 51 cm² and it’s volume is 85 cm², then the height of the cone is given as ______.

Options

• `5/6` cm

• `5/3` cm

• `5/2` cm

• 5 cm

Answer 1

If the area of the base of a right circular cone is 51 cm² and it’s volume is 85 cm², then the height of the cone is given as 5 cm.

Explanation:

πr² = 51

V = `1/3 xx πr^2 xx h`

`85 = 1/3 xx 51 xx h`

h = `85/17`

h = 5 cm