If a cone has a height of 5 inches and a volume of 135pi^3 find the diameter of the circular base?

Answer 1

V = Pi r^2h/3

135pi in^3 = pi * r^2 * 5/3
135 = r^2 * 5/3
405 = 5r^2
r^2 = 81
r = 9

d = 2r = 2(9) = 18

ANS : 18 inches

Answer 2

The volume of a cone is 1/3(Area of Base)(height) = 1/3 π r^2 h

So
(1/3) x pi x r^2 x 5 = 135pi
r^2 = 81
r = 9

------------

I think you are missing the units for volume 135pi^3
Is your volume (135pi) units^3?

Answer 3

Assume V = 135 in³ ???
V = (1/3).π.r².h
135 = (1/3).π.r².h
r² = 405 / π h
r² = 405 / 5π
r = √(81 / π)
r = 5.08 inches
Diameter = 10.2 inches