To find the volume of a cylinder, we can use the formula:
Volume = π × r² × h
Where:
- π (pi) is approximately 3.14
- r is the radius of the cylinder
- h is the height of the cylinder
First, we need to find the radius of the cylinder. The diameter is given as 30 cm, so the radius (r) is half of that:
r = diameter / 2 = 30 cm / 2 = 15 cm
Now we can plug the values of the radius and height into the volume formula. The height (h) of the cylinder is given as 53 cm:
Volume = π × (15 cm)² × 53 cm
Calculating the radius squared:
(15 cm)² = 225 cm²
So now the equation for volume looks like this:
Volume = π × 225 cm² × 53 cm
Now multiplying the values together:
Volume ≈ 3.14 × 225 cm² × 53 cm
Volume ≈ 3.14 × 11925 cm³
Volume ≈ 37476.5 cm³
Therefore, the volume of the cylinder is approximately 37,476.5 cubic centimeters.