A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What volume of chocolate, in cubic centimeters, is needed to make a solid chocolate cone? Use 3.14 for π

To find 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 a constant approximately equal to 3.14.

Given:

• The diameter of the cone is 2 cm, which means the radius \( r \) is half of that: \[ r = \frac{2}{2} = 1 \text{ cm} \]
• The height \( h \) of the cone is 6 cm.

Now substituting the values into the volume formula:

\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \]

Calculating it step-by-step:

1. Calculate \( r^2 \): \[ r^2 = 1^2 = 1 \]

2. Substitute \( r^2 \) into the volume formula: \[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \]

3. Calculate \( 3.14 \times 1 \times 6 \): \[ 3.14 \times 6 = 18.84 \]

4. Finally, calculate \( \frac{1}{3} \times 18.84 \): \[ V = \frac{18.84}{3} = 6.28 \]

Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.

So, the correct answer is:

6.28 cubic centimeters.