What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.(1 point)
Responses
2,355 cubic centimeters
2,355 cubic centimeters
1,570 cubic centimeters
1,570 cubic centimeters
314 cubic centimeters
314 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
The correct answer is 1,570 cubic centimeters.
explain
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 3.14), r is the radius (half of the diameter), and h is the height.
In this case, the diameter is 20 cm, so the radius is 10 cm (20 cm / 2 = 10 cm). The height is given as 15 cm.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (10 cm)^2 * 15 cm
= (1/3) * 3.14 * 100 cm^2 * 15 cm
= (1/3) * 3.14 * 1500 cm^3
≈ 1,570 cm^3
Therefore, the volume of the cone is approximately 1,570 cubic centimeters.