Given:
Height of cylinder = 12 inches
Diameter = 4 inches
Let's draw a two dimensional shape that would need to be revolved around the x-axis to create a cylinder.
A cylinder can be created by rotating a rectangle about one of its edges.
Since it is rotated around the x-axis, radius of the cylinder will be the width of the rectangle.
Hence, we have:
radius = diameter /2 = 4/2 = 2 inches
To create the cylinder let's draw a rectangle with the dimensions:
Length = 12 inches
Width = 2 inches.
We have the figure below:
To find the volume of the cylinder, apply the formula:
[tex]V=\pi r^2h[/tex]
Where:
r is the radius = 2 inches
h is the height = 12 inches
We have:
[tex]\begin{gathered} V=\pi *2^2*12 \\ \\ V=150.8\text{ in}^3 \end{gathered}[/tex]
Therefore, the volume of the cylinder is 150.8 in³
ANSWER:
Volume of cylinder = 150.8 in³
