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 of the base, and
- \( h \) is the height.
Given:
- The diameter is 20 cm, so the radius \( r \) is half of that: \( r = \frac{20}{2} = 10 \) cm.
- The height \( h = 15 \) cm.
- Using \( \pi = 3.14 \).
Now substitute these values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15 \] \[ V = \frac{1}{3} \times 3.14 \times 100 \times 15 \] \[ V = \frac{1}{3} \times 3.14 \times 1500 \] \[ V = \frac{1}{3} \times 4710 \] \[ V = 1570 , \text{cubic centimeters} \]
Thus, the volume of the cone is 1,570 cubic centimeters.