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dalvyx [7]
3 years ago
15

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

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0

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

<em>r</em> = the radius of the circular end of the cylinder

<em>h = </em>height of the cylinder

We know that the cylinder has a height of <em>h</em> 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

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