Chapter 12, Problem 3E

To determine

To find: The volume of the oblique cone with the radius $4$ and height $3.5$ .

Answer to Problem 3E

Thevolume of the oblique cone is $58.67$ cubic units.

Explanation of Solution

Given information:

The radius of the oblique cone is 4 units and the height is $3.5$ units.

Calculation:

Write the expression to calculate the volume of the oblique cone.

  $\text{Volume}=\frac{1}{3}\times \pi r^{2}h$

Where,

• $h$ is the height of the cone.
• $r$ is the radius of the cone.

Substitute $3.5$ for $h$ , $\frac{22}{7}$ for $\pi$ and $4$ for $r$ in the above equation.

  $\begin{array}{c}\text{Volume}=\frac{1}{3}\times \frac{22}{7}\times 4^2\times 3.5\\ =58.67\text{cubic units}\end{array}$

Therefore, the volume of the oblique cone is $58.67$ cubic units.