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
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.