Question

A conical candle is to be made from 250 cm3 of wax. If the candle's height is three times its diameter, what radius and height should it have, to the nearest tenth?

Answer 1

The radius and height of the cone are 3.41 cm and 20.46 cm respectively.

Explanation:

Given that,

The volume of a conical candle is 250 cm³.

The height of candle is 3 times of its diameter.

h = 3d (d = 2r, radius)

So,

h = 6r

The formula of volume of a cone is given by :

`V=(1)/(3)\pi r^2h\\\\250=(1)/(3)\pi * r^2* 6r\\\\250=2\pi r^3\\\\r=((250)/(2\pi ))^(1/3)\\\\r=3.41\ cm`

Height, h = 6r = 6(3.41) = 20.46 cm

Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.