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 cone's base,
- \( h \) is the height of the cone.
Given:
- The diameter of the cone is 2 cm, so the radius \( r \) is half of the diameter:
\[ r = \frac{2}{2} = 1 \text{ cm} \]
- The height \( h \) of the cone is 6 cm.
Now substitute the values into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \] \[ V = \frac{1}{3} \times 18.84 \] \[ V = 6.28 \text{ cubic centimeters} \]
Thus, the volume of chocolate needed to make the solid chocolate cone is 6.28 cubic centimeters.