Problema Solution

Find the volume of a cone with a base diameter of

12yd

and a height of

10yd

. Write the exact volume in terms of

π

, and be sure to include the correct unit in your answer.

Answer provided by our tutors

V = ? the volume in yd^3

d = 12 yd the diameter 

H = 10 yd the height

V = (1/3)B*H, where B is the area of the base

B = (d/2)^2 π

B = (12/2)^2 π

B = 36π

V = (1/3)36π*10

V = 120π yd^3

The volume of the cone is 120π cubic yards.