Cylinder Volume Calculation

This problem asks for the volume of a cylinder given its radius and height.

Given Information

• Radius ($r$) = 28 cm
• Height ($h$) = 40 cm
• Value of Pi ($\pi$) $\approx \frac{22}{7}$

Volume Formula

The formula to calculate the volume ($V$) of a cylinder is:

$ V = \pi r^2 h $

Calculation Steps

1. Substitute the given radius and height into the formula:

   $ V = \frac{22}{7} \times (28 \text{ cm})^2 \times (40 \text{ cm}) $

2. Calculate the square of the radius:

   $ (28 \text{ cm})^2 = 28 \text{ cm} \times 28 \text{ cm} = 784 \text{ cm}^2 $

3. Substitute this back into the volume equation:

   $ V = \frac{22}{7} \times 784 \text{ cm}^2 \times 40 \text{ cm} $

4. Simplify by dividing 784 by 7:

   $ \frac{784}{7} = 112 $

   $ V = 22 \times 112 \text{ cm}^2 \times 40 \text{ cm} $

5. Multiply the remaining numbers:

   $ V = 22 \times (112 \times 40) \text{ cm}^3 $

   $ V = 22 \times 4480 \text{ cm}^3 $

6. Calculate the final volume:

   $ V = 98560 \text{ cm}^3 $

Conclusion

The calculated volume of the cylinder is 98560 $cm^3$.