Question

The height of a cone is equal to three timesthe radius of the base. If the base has area 49 pie cm2, what is the volume of the cone?

Answer 1

343pi^3

Explanation:

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

h = height

Base area = area of a circle

Area of a circle = πr²

49 pi = πr²

r² = 49

r = 7

h = 7 x 3 = 21

volume = 1/3 x 21 x 7^2 = 343pi