The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone.
The diameter of the cone is 20 cm, so the radius is half of that, which is 10 cm.
The height of the cone is 15 cm.
Using the formula for volume, we can substitute the values:
V = (1/3)π(10 cm)^2(15 cm)
V = (1/3)π(100 cm^2)(15 cm)
V = (1/3)(3.14159)(100 cm^2)(15 cm)
V = 3.14159(1000 cm^3)
V ≈ 3141.59 cm^3
The volume of the cone is approximately 3,141.59 cubic centimeters.
None of the given options match the calculated volume exactly, but option 2, 314 cubic centimeters, is the closest option.
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
1. 1,570 cubic centimeters
2. 314 cubic centimeters
3. 6,280 cubic centimeters
4. 2,355 cubic centimeters
1 answer