Problema Solution

A cone has a height of 8 and a diameter of 15. Find the volume of the cone. What would the volume of a cylnder with the same dimenstions be?

Answer provided by our tutors

let


h = 8 the height

d = 15 the diameter


the volume of the cone is


V1 = (1/3)(d/2)^2*pi*h


V1 = (1/3)(15/2)^2*pi*8


V1 = 150 pi


V1 = 471 (if we put pi = 3.14)


the volume of the cylinder is


V2 = (d/2)^2*pi*h


V2 = 3*V1


V2 = 3*150 pi


V2 = 450 pi


V2 = 1413