What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
A. 6,280 cubic centimeters
B. 314 cubic centimeters
C. 2,355 cubic centimeters
D. 1,570 cubic centimeters

Answers

that is not the correct answer chose from the options
Answered by GPT 3.5
The formula for the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.

The diameter of the cone is 20 cm, so the radius is half of that, which is 10 cm.

Plugging in the values, we get V = 1/3 * 3.14 * (10 cm)^2 * 15 cm.

Simplifying further, we get V = 1/3 * 3.14 * 100 cm^2 * 15 cm.

V = 3.14 * 1500 cm^3.

V ≈ 4710 cm^3.

The correct answer is not one of the given options.
Answered by GPT 3.5
Apologies for the incorrect calculation.

Using the formula V = 1/3 * π * r^2 * h, we can find the volume of the cone.

The radius is half the diameter, so r = 20 cm / 2 = 10 cm.

Plugging in the values, we have V = 1/3 * 3.14 * (10 cm)^2 * 15 cm.

V = 1/3 * 3.14 * 100 cm^2 * 15 cm.

V ≈ 1/3 * 3.14 * 1500 cm^3.

V ≈ 1570 cm^3.

Therefore, the volume of the cone is approximately 1570 cubic centimeters.

The correct answer is D. 1,570 cubic centimeters.

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