Cylinder Volume Calculation

To find the volume of a cylinder, we use the formula:

$ V = \pi r^2 h $

Where:

• \( V \) is the volume
• \( \pi \) is Pi
• \( r \) is the radius
• \( h \) is the height

Given Values

• Radius (\( r \)): 21 cm
• Height (\( h \)): 13 cm
• Pi (\( \pi \)): \( \frac{22}{7} \)

Step-by-Step Calculation

1. Substitute the given values into the volume formula:

   $ V = \frac{22}{7} \times (21 \text{ cm})^2 \times 13 \text{ cm} $

2. Calculate the square of the radius:

   $ (21 \text{ cm})^2 = 21 \text{ cm} \times 21 \text{ cm} = 441 \text{ cm}^2 $

3. Substitute the squared radius back into the formula:

   $ V = \frac{22}{7} \times 441 \text{ cm}^2 \times 13 \text{ cm} $

4. Simplify the calculation by dividing 441 by 7:

   $ \frac{441}{7} = 63 $

   $ V = 22 \times 63 \text{ cm}^2 \times 13 \text{ cm} $

5. Multiply the remaining numbers:

   $ V = 1386 \text{ cm}^2 \times 13 \text{ cm} $

   $ V = 18018 \text{ cm}^3 $

Final Volume

The volume of the cylinder is 18018 $cm^3$.