Answer and Step-by-step explanation:
First off, we need to know the volume formula for a cylinder.
The volume formula for a cylinder is:
V = [tex]\pi r^{2} h[/tex]
Where:
V = Volume
r = Radius
h = Height.
We are given the diameter and the height of the cylinder.
The radius is half of the diameter.
d (Diameter) = 3
r = 1.5
h = 15
Now, we plug it into the equation.
V = [tex]\pi (1.5^{2} )(15)[/tex]
Plug these values into a calculator and solve.
The volume we get is 106.03, which rounds to 106.0.
That means the answer choice that is correct is answer choice D. 106.0 [tex]in^3[/tex].
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