Volume of Cones Quick Check
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
6,260 cubic centimeters
O 2.355 cubic centimeters
O 314 cubic centimeters
1,570 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.
Given that the diameter is 20 cm, we can find the radius by dividing it by 2.
Radius = 20 cm/2 = 10 cm
Now we can substitute the values into the formula:
V = 1/3 π(10 cm)^2(15 cm)
V ≈ 1/3 * 3.14 * 100 cm^2 * 15 cm
V ≈ 1/3 * 314 cm^2 * 15 cm
V ≈ 104.67 cm^2 * 15 cm
V ≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 cubic centimeters.
So, the correct answer is 1,570 cubic centimeters.