A Cylinder Is 154 Inches High And 3 Inches In Radius Find Its Volume

less than a minute read Aug 30, 2024
A Cylinder Is 154 Inches High And 3 Inches In Radius Find Its Volume

Finding the Volume of a Cylinder

This article will guide you through calculating the volume of a cylinder with a height of 154 inches and a radius of 3 inches.

Understanding the Formula

The volume of a cylinder is calculated using the following formula:

Volume (V) = π * r² * h

Where:

  • π (pi) is a mathematical constant approximately equal to 3.14159
  • r is the radius of the cylinder's base
  • h is the height of the cylinder

Applying the Formula

  1. Identify the given values:

    • Height (h) = 154 inches
    • Radius (r) = 3 inches
  2. Substitute the values into the formula:

    • V = π * (3 inches)² * 154 inches
  3. Calculate the volume:

    • V = 3.14159 * 9 inches² * 154 inches
    • V ≈ 4346.24 cubic inches

Conclusion

Therefore, the volume of the cylinder with a height of 154 inches and a radius of 3 inches is approximately 4346.24 cubic inches.