Question

In order to store paint, a factory has purchased a cylindrical tank that is 6 feet across and 9 feet deep. What is the maximum number of cubic feet of paint the tank will hold?

Answer 1

254 cubic feet.

Explanation:

It is given that the a cylindrical tank is 6 feet across and 9 feet deep. It means

Diameter of cylinder = 6 feet

Radius of the cylinder = 6/2 = 3 feet

Height of the cylinder = 9 feet

The volume of a cylinder is

`V=\pi r^2h`

where, r is radius and h is height of the cylinder.

Substitute r=3 and h=9 in the above formula.

`V=\pi (3)^2(9)`

`V=81\pi`

`V=254.46900`

We need to find the maximum number of cubic feet. So approx the value to a whole number.

`V\approx 254`

Therefore, the maximum number of cubic feet of paint the tank will hold is 254 cubic feet.