What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)

Question

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

Answer 1

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.