Question

A professional Baker uses a chocolate mold to make decorations for cakes Munchocolate mold is in the shape of a cone and has a diameter of 2 centimeters and a height of six centimeters what volume of chocolate and cubic centimeters is needed to make a solid chocolate cone use 3.14 for pi

Answer 1

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,
- \( \pi \) is a constant (approximately 3.14 as specified),
- \( r \) is the radius of the base,
- \( h \) is the height of the cone.

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

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

- The height \( h \) of the cone is 6 cm.

Now, substituting the values into the volume formula:

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

Calculating step-by-step:

1. \( (1 \text{ cm})^2 = 1 \text{ cm}^2 \)
2. Now substitute into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 1 \text{ cm}^2 \times 6 \text{ cm}
\]

3. Calculate:

\[
V = \frac{1}{3} \times 3.14 \times 6 \text{ cm}^3
\]
\[
V = \frac{1}{3} \times 18.84 \text{ cm}^3
\]
\[
V = 6.28 \text{ cm}^3
\]

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