Question

PLS HELP.Find the volume of a cone having a base circumference of 36pi meters and height of 12meters. Leave your answer in terms of π. Use the word "pi" in your answer to represent the symbol. SHOW YOUR WORK

Answer 1

Explanation:

The circumference of the base of the cone is given as 36π meters, which means the radius of the base is 18 meters (since circumference = 2πr).

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.

Substituting the given values, we get:

V = (1/3)π(18^2)(12)

V = (1/3)π(324)(12)

V = (1/3)(3888π)

V = 1296π

Therefore, the volume of the cone is 1296π cubic meters.