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 of the base,
- \( h \) is the height of the cone,
- \( \pi \) is a constant (approximately 3.14).
Given:
- Diameter of the cone = 2 cm, so the radius \( r = \frac{2}{2} = 1 \) cm.
- Height \( h = 6 \) cm.
Plugging in the values:
\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 6 \] \[ V = \frac{18.84}{3} \] \[ V = 6.28 , \text{cubic centimeters} \]
Therefore, the volume of chocolate needed to make the solid chocolate cone is \( 6.28 \) cubic centimeters.
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