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
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.