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

Answer:

The expression that gives the volume of the cylinder in cubic inches is $V=\frac{9\pi h}{4} \:in^3$.

Step-by-step 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:

$V=\pi (\frac{3}{2}) ^2h=\frac{9\pi h}{4} \:in^3$