What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point) 314 cubic centimeters 1,570 cubic centimeters 2,355 cubic centimeters 6,280 cubic centimeters
The formula to find the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given the diameter of the base 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) = (1/3)π(100 cm^2)(15 cm)
= (1/3)(π)(1500 cm^3)
≈ 1,570 cubic centimeters.
Therefore, the volume of the cone is 1,570 cubic centimeters.
The correct answer is 1,570 cubic centimeters.