To find the volume of a cylinder, we use the formula:
Volume = π × r² × h
Where:
- π (Pi) is a constant approximately equal to 3.14
- r is the radius of the cylinder
- h is the height of the cylinder
Given the diameter of the cylinder is 10 inches, we first need to find the radius. The radius is half of the diameter:
r = diameter / 2 = 10 inches / 2 = 5 inches
Now we can substitute the values into the volume formula. The height (h) is given as 20 inches:
Volume = π × (5 inches)² × 20 inches
Calculating the square of the radius:
Volume = π × 25 square inches × 20 inches
Now multiply:
Volume = π × 500 cubic inches
Finally, using the approximate value of π (3.14):
Volume ≈ 3.14 × 500 ≈ 1570 cubic inches
Therefore, the volume of the cylinder is approximately 1570 cubic inches.