What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)

Responses

314 cubic centimeters
314 cubic centimeters

1,570 cubic centimeters
1,570 cubic centimeters

2,355 cubic centimeters
2,355 cubic centimeters

6,280 cubic centimeters

1 answer

The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the radius, and h is the height.

Given a cone with a diameter of 20 cm, the radius would be half of the diameter, or 10 cm. With a height of 15 cm, we can plug these values into the formula:

V = (1/3) * π * 10^2 * 15
V = (1/3) * 3.14 * 100 * 15
V ≈ 1,570 cubic centimeters

Therefore, the volume of the cone is approximately 1,570 cubic centimeters.
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