Chapter 12, Problem 2E

To determine

To find: The volume of the solid with the given altitude.

Answer to Problem 2E

Thevolume of the solid is $200\pi$ cubic units.

Explanation of Solution

Given information:

The given solid is oblique cylinder with the height $8$ and the diameter is $10$ . So, the radius of the oblique cylinder will be,

  $\begin{array}{c}\text{Radius}=\frac{\text{Diameter}}{2}\\ =\frac{10}{2}\\ =5\end{array}$

Calculation:

Write the expression to calculate the base area of the cylinder.

  $\text{Base area}=\pi {\left(r\right)}^2$

Where,

• $r$ is the radius.

Substitute $5$ for $r$ in the above equation.

  $\begin{array}{c}\text{Base area}=\pi {\left(5\right)}^2\\ =25\pi \text{square}\text{units}\end{array}$

Write the expression to calculate the volume.

  $\text{Volume}=\text{Base}\text{area}\times h$

Where,

• $h$ is the height of the cylinder.

Substitute $8$ for $h$ in the above equation.

  $\begin{array}{c}\text{Volume}=25\pi \times 8\\ =200\pi \text{cubic}\text{units}\end{array}$

Therefore, the volume of the solid is $200\pi$ cubic units.