A cone has a height of 5 inches and a circumferenceof 56.52 inches.Which measurement is closest to the volume of thecone in cubic inches? Use 3.14 for π .A 1695.6B 1271.7C 887.36D 423.9
Accepted Solution
A:
The volume of a cone is found by saying: V = 1/3 * pi * r^2 * h
The circumference is equal to C = 2*pi*r
So the radius of the cone is r = C/2pi
So the volume of this cone is V=1/3 * pi * h * (C/2pi)^2 = 1/12 * h * C^2/pi = 423.9