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)

314 cubic centimeters

6,280 cubic centimeters

1,570 cubic centimeters

2,355 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.

1. **Find the radius**: The diameter is given as 20 cm, so the radius \( r \) is:

\[
r = \frac{diameter}{2} = \frac{20}{2} = 10 \text{ cm}
\]

2. **Use the height**: The height \( h \) is given as 15 cm.

3. **Substitute into the volume formula**:

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

4. **Calculate \( r^2 \)**:

\[
(10)^2 = 100
\]

5. **Substitute back into the formula**:

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

6. **Calculate \( 100 \times 15 \)**:

\[
100 \times 15 = 1500
\]

7. **Now, substitute back**:

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

8. **Calculate \( 3.14 \times 1500 \)**:

\[
3.14 \times 1500 = 4710
\]

9. **Finally, divide by 3**:

\[
V = \frac{4710}{3} = 1570
\]

The volume of the cone is **1,570 cubic centimeters**.

So, the correct answer is:

**1,570 cubic centimeters**.