Question

What is the volume of the cone with radius 5 m and height 6 m? Express the answer in terms of π.

Answer 1

157.80

Explanation:

V = r^2 * h * 1/3 * pi

V = 5^2 * 6 * 1/3 * pi

V = 25 * 6 * 1/3 * pi

V = 150 * 1/3 * pi

V = 157.079..

("Gmanyp82iab" forgot to square the radius above)

Answer 2

The formula of a volume of a cone:

`V=(1)/(3)\pi r^2H`

We have r = 5m and H = 6m. Substitute:

`V=(1)/(3)\pi(5^2)(6)=\pi(25)(2)=50\pi\ m^3`