To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
- First, we need to find the radius. If the diameter is 2 cm, then the radius \( r \) is:
\[ r = \frac{d}{2} = \frac{2}{2} = 1 \text{ cm} \]
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The height \( h \) is given as 6 cm.
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Now we can plug the values into the 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.