To find the volume of the cone, you can use the formula for the volume \( V \) of a cone:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cone.
-
Find the radius: The diameter of the cone is 2 cm, so the radius \( r \) is: \[ r = \frac{2 \text{ cm}}{2} = 1 \text{ cm} \]
-
Height: The height \( h \) is given as 6 cm.
-
Substitute the values into the formula: \[ V = \frac{1}{3} \times 3.14 \times (1 \text{ cm})^2 \times 6 \text{ cm} \] \[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \] \[ V = \frac{1}{3} \times 18.84 \] \[ V = 6.28 \text{ cubic centimeters} \]
So, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters. Thus, the correct answer is:
6.28 cubic centimeters.