Question

Need help answering question 1what would be the volume of the cylinder?

Answer 1

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:

`V=\pi r^2h`

Where:

r is the radius = 2 inches

h is the height = 12 inches

We have:

`\begin{gathered} V=\pi *2^2*12 \\ \\ V=150.8\text{ in}^3 \end{gathered}`

Therefore, the volume of the cylinder is 150.8 in³

ANSWER:

Volume of cylinder = 150.8 in³