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 1,570 cubic centimeters
c 2,355 cubic centimeters
d 314 cubic centimeters
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r² * h
where r is the radius of the base of the cone and h is the height of the cone.
First, find the radius:
Diameter = 20 cm
Radius = Diameter / 2 = 20 cm / 2 = 10 cm
Plug the radius and the height into the formula:
Volume = (1/3) * π * (10 cm)² * 15 cm
Volume = (1/3) * π * 100 cm² * 15 cm
Volume = (1/3) * π * 1500 cm³
Volume = 500 * π cm³
Now, calculate the numerical value using π ≈ 3.14159:
Volume ≈ 500 * 3.14159
Volume ≈ 1570.795 cm³
The volume of the cone is approximately 1,570.795 cubic centimeters. Therefore, the closest answer is:
b) 1,570 cubic centimeters