Question

What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.(1 point)
Responses

6,280 cubic centimeters
6,280 cubic centimeters

314 cubic centimeters
314 cubic centimeters

2,355 cubic centimeters
2,355 cubic centimeters

1,570 cubic centimeters

Answer 1

To find the volume of a cone, you can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height.

Given:
- Diameter = 20 cm, so the radius \(r = \frac{20}{2} = 10\) cm.
- Height \(h = 15\) cm.
- Use \(\pi = 3.14\).

Now, plug the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15
\]

Calculating the radius squared:
\[
(10)^2 = 100
\]

Now substituting back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 100 \times 15
\]

Calculating \(100 \times 15\):
\[
100 \times 15 = 1500
\]

So now:
\[
V = \frac{1}{3} \times 3.14 \times 1500
\]

Calculating \(3.14 \times 1500\):
\[
3.14 \times 1500 = 4710
\]

Finally, divide by 3:
\[
V = \frac{4710}{3} = 1570
\]

Thus, the volume of the cone is:
\[
\boxed{1,570} \text{ cubic centimeters}
\]