Question

A cone-shaped icicle has a height of 18 inches and a diameter of 3 inches. If the ice is melting at a rate of 1 cubic inch every 3 minutes, how long will it take the icicle to melt?

Answer 1

381.6 minutes

Explanation:

We need to first find the volume of the icicle.

Its height is 18 inches and its diameter is 3 inches (radius = 1.5 inches)

The volume of a cone is:

`V = \pi r^2 h`

where r = radius

h = height

Therefore, the volume of the icicle is:

`V = \pi * 1.5^2 * 18\\`

V = 127.2 cubic inches

The time it takes 1 cubic inch of the icicle to melt is 3 minutes, therefore, the time it will take 127.2 cubic inches to melt is:

127.2 * 3 = 381.6 minutes