The volume \( V \) of a cone can be calculated using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius of the base of the cone and \( h \) is the height of the cone.
Given:
- Diameter of the cone = 2 cm, so the radius \( r = \frac{2}{2} = 1 \) cm.
- Height \( h = 6 \) cm.
- Using \( \pi \approx 3.14 \).
Now, substitute the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \]
Calculating step-by-step:
\[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 6 \] \[ V = \frac{1}{3} \times 18.84 \] \[ V = 6.28 \text{ cubic centimeters} \]
Thus, the volume of chocolate needed to make the solid chocolate cone is 6.28 cubic centimeters.
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