Question

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

Answer 1

The volume of a cone is given by:
\[V = \frac{1}{3}\pi r^2 h\]
Where V, r and h are volume, radius of the base and height respectively.
So rearranging for r:
\[r = \sqrt{3V/(\pi h)}\]
And putting the known values in:
\[r = \sqrt{3(135\pi)/(5\pi)}\]So,
\[r = \sqrt{81} = 9\]
And the diameter of the base is twice that of the radius
\[2*9 = 18\]
So your answer is 18 inches.

Answer 2

wow thank you very much and with all of the details to finish the problem thank u

Answer 3

i am actually getting it

Answer 4

No problem.