Answer:
[tex]d = 2\sqrt{30}[/tex]
Step-by-step explanation:
Given
[tex]Volume = 300\pi ft^3[/tex]
[tex]Height =10ft[/tex]
Required
The diameter
The volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]300\pi = \pi * r^2*10[/tex]
Divide both sides by the common factors
[tex]30 = r^2[/tex]
Take square roots of both sides
[tex]r = \sqrt{30}[/tex]
The diameter is:
[tex]d=2r[/tex]
So:
[tex]d = 2* \sqrt{30}[/tex]
[tex]d = 2\sqrt{30}[/tex]
or
[tex]d = 10.95[/tex]
