Calculate the volume of a closed cylinder with a diameter 10cm and height 15cm
1178.1cm
right number, but volume is in cm^3, not cm.
To calculate the volume of a closed cylinder, you need to use the formula:
Volume = π * r^2 * h
where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r represents the radius of the cylinder
- h represents the height of the cylinder
But since you have given the diameter of the cylinder, you need to find the radius first. The radius is half of the diameter.
Given that the diameter of the cylinder is 10 cm, the radius will be:
Radius = 10 cm / 2
Now you can substitute the values into the formula:
Volume = π * (Radius)^2 * Height
Volume = π * (5 cm)^2 * 15 cm
Calculate the volume using the values:
Volume = 3.14159 * 5 cm * 5 cm * 15 cm
Volume ≈ 3.14159 * 25 cm^2 * 15 cm
Volume ≈ 3.14159 * 375 cm^3
Volume ≈ 1178.0975 cm^3
Therefore, the volume of the closed cylinder is approximately 1178.0975 cubic centimeters.