The radius of base of a cone is r and height is h. Find its volume.

Answer

To find the volume of a cone with a radius \( r \) and height \( h \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Volume of a Cone**:
The volume \( V \) of a cone is given by the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius of the base of the cone and \( h \) is the height of the cone.

2. **Identify the Values**:
In this problem, we have:
- Radius \( r \)
- Height \( h \)

3. **Substitute the Values into the Formula**:
We substitute \( r \) and \( h \) into the volume formula:
\[ V = \frac{1}{3} \pi r^2 h \]

4. **Use an Approximation for \( \pi \)**:
Depending on the requirement, we can use \( \pi \) as either \( \frac{22}{7} \) or \( 3.14 \). For this solution, we can use \( \frac{22}{7} \):
\[ V = \frac{1}{3} \times \frac{22}{7} \times r^2 \times h \]

5. **Final Expression for Volume**:
Thus, the volume of the cone can be expressed as:
\[ V = \frac{22}{21} r^2 h \]
if we simplify the expression using \( \frac{1}{3} \times \frac{22}{7} \).

### Final Answer:
The volume of the cone is:
\[ V = \frac{1}{3} \pi r^2 h \]