Find the volume of a right circular cone that has a height of 10.5 in and a base with a circumference of 7.1 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

h= 10.5 inches

Circumference = C = pid = 7.3 = about 3.14d

d = diameter = 7.3/pi

Area of cone's base =A = pir^2 =(pi)(d/2)^2 = (pi/4)d^2 = (pi/4)(7.3^2)/pi^2 = 7.3^2/4pi

Volume = one third of the height times the base area = (1/3)hA = hA/3 = 10.5(7.3^2)/12pi = about 14.8424 in^3

= about 14.8 cubic inches