If r is the radius of the base and h be the height of a cylinder, then its volume is (………….) cubic units.

Answer

To find the volume of a cylinder given the radius of the base (r) and the height (h), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Formula for Volume of a Cylinder**:
The volume (V) of a cylinder can be calculated using the formula:
\[ V = \text{Area of the base} \times \text{Height} \]

2. **Determine the Area of the Base**:
The base of the cylinder is a circle. The area (A) of a circle is given by the formula:
\[ A = \pi r^2 \]
where \( \pi \) (Pi) is a constant approximately equal to 3.14, and \( r \) is the radius of the circle.

3. **Substitute the Area into the Volume Formula**:
Now, we substitute the area of the base into the volume formula:
\[ V = \pi r^2 \times h \]

4. **Write the Final Expression for Volume**:
Thus, the volume of the cylinder can be expressed as:
\[ V = \pi r^2 h \]
This represents the volume in cubic units.

### Final Answer:
The volume of the cylinder is \( \pi r^2 h \) cubic units.

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