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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given that the diameter of the cone is 2 cm, the radius \( r \) is:
\[ r = \frac{d}{2} = \frac{2 , \text{cm}}{2} = 1 , \text{cm} \]
The height \( h \) is given as 6 cm.
Now, plug the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (1 , \text{cm})^2 \times 6 , \text{cm} \]
Calculating \( (1 , \text{cm})^2 \):
\[ (1 , \text{cm})^2 = 1 , \text{cm}^2 \]
Now substitute back into the equation:
\[ V = \frac{1}{3} \times 3.14 \times 1 , \text{cm}^2 \times 6 , \text{cm} \]
Calculating further:
\[ V = \frac{1}{3} \times 3.14 \times 6 = \frac{18.84}{3} = 6.28 , \text{cm}^3 \]
Thus, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.
The correct response is: 6.28 cubic centimeters.