Question

George bought a cylindrical tank for his garden but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit in. The seller told him the volume and the height, calculate the diameter of the tank using the information below
“ the volume of the tank is 300 π ft^2 and its height is 10ft

Answer 1

Answer:

$d = 2\sqrt{30}$

Step-by-step explanation:

Given

$Volume = 300\pi ft^3$

$Height =10ft$

Required

The diameter

The volume of a cylinder is:

$V = \pi r^2h$

So, we have:

$300\pi = \pi * r^2*10$

Divide both sides by the common factors

$30 = r^2$

Take square roots of both sides

$r = \sqrt{30}$

The diameter is:

$d=2r$

So:

$d = 2* \sqrt{30}$

$d = 2\sqrt{30}$

or

$d = 10.95$