Question

Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? A) V = π(9)2h B) V = π(9h)2 C) V = π(18)2h D) V = π(18h)2

Answer 1

A) V = π(9)2h

Explanation:

Given

Diameter=d=18 feet

and

Height=h

The formula for the volume of cylinder is

V= πr^2 h

In order to find the volume, we have to calculate radius from diameter.

r= d/2

r= 18/2

r=9 feet

Putting the values in the formula

V= π (9)^2 h

As the unit for radius is feet which is squared in the formula and height is also in feet and both are being multiplied in the formula so the unit will be cubic feet..

Answer 2

Answer: option A

Explanation:

The volume of a cylinder can be calculated with the formula:

`V=\pi r^2h`

Where r is the radius and h is the height of the cylinder.

The radius is diameter divided by 2, then:

`r=(18ft)/(2)\\\\r=9ft`

Substitute the radius into the formula. Then you get the following equation that can be used to find V, the volume of the cylinder:

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