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

Question

.(1 point)
Responses

12.56 cubic centimeters
12.56 cubic centimeters

18.84 cubic centimeters
18.84 cubic centimeters

6.28 cubic centimeters
6.28 cubic centimeters

37.68 cubic centimeters

Answer 1

To find the volume of a cone, the formula is given by:

\[ V = \frac{1}{3} \pi r^2 h \]

Where:

• \( V \) is the volume,
• \( \pi \) is a constant (use 3.14),
• \( r \) is the radius of the base,
• \( h \) is the height.

Given:

• The diameter of the cone is 2 cm, so the radius \( r \) is half of the diameter:

\[ r = \frac{2}{2} = 1 \text{ cm} \]

• The height \( h \) is 6 cm.

Now substitute the values into the volume 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 a solid chocolate cone is:

6.28 cubic centimeters.