Question

cylinder has a height of h inches and a diameter of 3 inches. What expression gives the volume of the cylinder in cubic inches?

Answer 1

The expression that gives the volume of the cylinder in cubic inches is
`V=(9\pi h)/(4) \:in^3`.

Explanation:

The base of a cylinder is a circle, the area of that circle is given by the formula:

area =
`\pi r^2`

Multiplying by the height
`h` we get that the volume of a cylinder is

`V=\pi r^2h`

where:

π = Pi

r = the radius of the circular end of the cylinder

h = height of the cylinder

We know that the cylinder has a height of h inches and a diameter of 3 inches.

The radius of a circle is half the diameter and the volume is:

`V=\pi ((3)/(2)) ^2h=(9\pi h)/(4) \:in^3`