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

2,355 cubic centimeters
2,355 cubic centimeters

6,280 cubic centimeters
6,280 cubic centimeters

1,570 cubic centimeters

1 answer

To find the volume of a cone, you can use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is pi (approximately 3.14159), r is the radius, and h is the height.

Given that the diameter of the cone is 20 cm, the radius (r) would be half of the diameter, which is 20/2 = 10 cm.

Substituting the values into the formula:
V = (1/3) * 3.14159 * 10^2 * 15
V = (1/3) * 3.14159 * 100 * 15
V ≈ 1/3 * 3.14159 * 1500
V ≈ 3.14159 * 500
V ≈ 1571.59

The volume of the cone is approximately 1571.59 cubic centimeters.

Therefore, the correct option is: 1,570 cubic centimeters.