Answer:
The expression that gives the volume of the cylinder in cubic inches is [tex]V=\frac{9\pi h}{4} \:in^3[/tex].
Step-by-step explanation:
The base of a cylinder is a circle, the area of that circle is given by the formula:
area = [tex]\pi r^2[/tex]
Multiplying by the height [tex]h[/tex] we get that the volume of a cylinder is
[tex]V=\pi r^2h[/tex]
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:
[tex]V=\pi (\frac{3}{2}) ^2h=\frac{9\pi h}{4} \:in^3[/tex]
