What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
A. 314 cubic centimeters
B. 1,570 cubic centimeters
C. 6,280 cubic centimeters
D. 2,355 cubic centimeters
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
In this case, the diameter is 20 cm, so the radius (r) would be half of that, which is 10 cm.
Plugging in the values, V = (1/3)π(10 cm)^2(15 cm).
V = (1/3)π(100 cm^2)(15 cm).
V = (1/3)(3.1416)(100 cm^2)(15 cm).
V ≈ 1,570.8 cm^3.
The volume of the cone is approximately 1,570 cubic centimeters.
Therefore, the correct answer is B. 1,570 cubic centimeters.