Volume of Cones Quick Check What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3 14 for pi.

1 answer

The radius of the cone can be found by dividing the diameter by 2: 20 cm / 2 = 10 cm.

The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where V is the volume, π is pi, r is the radius, and h is the height.

Substituting the given values into the formula:
V = (1/3) * 3.14 * 10 cm^2 * 15 cm.

Calculating the expression:
V = (1/3) * 3.14 * 150 cm^3.

V = 1.047 * 150 cm^3.

V ≈ 157 cm^3.

Therefore, the volume of the cone is approximately 157 cubic centimeters.
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