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."
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
1 answer