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

1 answer

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.
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