what is the volume of a cylinder of a diameter 10cm and a height of 10cm
V = pi * r^2 * h
V = 3.14 * 5^2 * 10
volume of a triangular prism
chocalate mils
To find the volume of a cylinder, you use the formula:
Volume = π * r^2 * h
Where:
- π is a mathematical constant approximately equal to 3.14159.
- r is the radius of the cylinder (half the diameter).
- h is the height of the cylinder.
In this case, the diameter is given as 10 cm. To find the radius (r), divide the diameter by 2:
r = diameter / 2 = 10 cm / 2 = 5 cm
Now you have the values for the radius (r) and the height (h).
Substituting the values into the formula:
Volume = π * (5 cm)^2 * 10 cm
Calculating the formula:
Volume ≈ 3.14159 * (5 cm)^2 * 10 cm
Volume ≈ 3.14159 * 25 cm^2 * 10 cm
Volume ≈ 3.14159 * 250 cm^3
Volume ≈ 785.39875 cm^3
Therefore, the volume of the cylinder is approximately 785.39875 cubic centimeters (cm^3).