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

Answer 1

H = 3r

base area = pi * r^2 = 49

r^2 = 49/pi

r = 7/sqrt(pi)

H = 21/sqrt(pi)

volume = (1/3)pi r^2 H = (1/3)pi(49)(21)/sqrt(pi)

= (7*49)*sqrt(pi)

= 343 * sqrt(pi)