To calculate 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 of the base, and \( h \) is the height.
- Calculate the radius: The diameter is 20 cm, so the radius \( r \) is half of the diameter:
\[ r = \frac{20}{2} = 10 \text{ cm} \]
- Substitute the values into the volume formula:
The height \( h \) is given as 15 cm, and we will use \( \pi = 3.14 \).
\[ V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15 \]
- Calculate \( r^2 \):
\[ r^2 = 10^2 = 100 \]
- Substitute \( r^2 \) back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 100 \times 15 \]
- Calculate \( 3.14 \times 100 \times 15 \):
\[ 3.14 \times 100 = 314 \]
\[ 314 \times 15 = 4710 \]
Now substitute this value back into the formula:
\[ V = \frac{1}{3} \times 4710 \]
- Calculate \( \frac{4710}{3} \):
\[ \frac{4710}{3} = 1570 \]
So, the volume of the cone is:
\[ \text{Volume} = 1570 \text{ cubic centimeters} \]
The correct answer is:
1,570 cubic centimeters.