What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Responses
2,355 cubic centimeters
2,355 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
1,570 cubic centimeters
1,570 cubic centimeters
314 cubic centimeters
We can use the formula for the volume of a cone: V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
First, we need to find the radius. The diameter is given as 20 cm, so the radius is half of that, which is 20/2 = 10 cm.
Now, we can plug the values into the formula:
V = 1/3 * π * (10 cm)^2 * 15 cm
V = 1/3 * π * 100 cm^2 * 15 cm
V = 1/3 * 3.14 * 100 cm^2 * 15 cm
V ≈ 1/3 * 3.14 * 1500 cm^3
V ≈ 3.14 * 500 cm^3
V ≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 cubic centimeters. The correct answer is "1,570 cubic centimeters."