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
6,280 cubic centimeters
6,280 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
1,570 cubic centimeters
To find the volume of a cone, we use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.
Given that the diameter of the cone is 20 cm, we can find the radius by dividing the diameter by 2: r = 20 cm / 2 = 10 cm.
Substituting the values into the formula, we get:
V = (1/3) * π * (10 cm)² * 15 cm
V = (1/3) * π * 100 cm² * 15 cm
V = (1/3) * 3.14 * 100 cm² * 15 cm
V = 3.14 * 1000 cm³
V ≈ 3140 cm³
Therefore, the volume of the cone is approximately 3140 cubic centimeters.
The closest answer choice is 314 cubic centimeters, but it is not an exact match.