What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
A. 6,280 cubic centimeters
B. 314 cubic centimeters
C. 2,355 cubic centimeters
D. 1,570 cubic centimeters
The formula for the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
The diameter of the cone is 20 cm, so the radius is half of that, which is 10 cm.
Plugging in the values, we get V = 1/3 * 3.14 * (10 cm)^2 * 15 cm.
Simplifying further, we get V = 1/3 * 3.14 * 100 cm^2 * 15 cm.
V = 3.14 * 1500 cm^3.
V ≈ 4710 cm^3.
The correct answer is not one of the given options.
that is not the correct answer chose from the options
Apologies for the incorrect calculation.
Using the formula V = 1/3 * π * r^2 * h, we can find the volume of the cone.
The radius is half the diameter, so r = 20 cm / 2 = 10 cm.
Plugging in the values, we have V = 1/3 * 3.14 * (10 cm)^2 * 15 cm.
V = 1/3 * 3.14 * 100 cm^2 * 15 cm.
V ≈ 1/3 * 3.14 * 1500 cm^3.
V ≈ 1570 cm^3.
Therefore, the volume of the cone is approximately 1570 cubic centimeters.
The correct answer is D. 1,570 cubic centimeters.