Question

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 .

Answer 1

The volume of the chocolate cone-shaped mold is calculated using the formula for the volume of a cone, which is ⅓πr²h. With a radius of 1 cm and a height of 6 cm, the volume is approximately 6.28 cm³.

Step-by-step explanation:

To calculate the volume of a cone, we use the formula V = ⅓πr²h. In this case, the diameter of the cone is given as 2 cm, which makes the radius 1 cm (since the radius is half of the diameter). The height of the cone is 6 cm. Using 3.14 for π, the formula becomes:

V = ⅓ * 3.14 * (1 cm)² * 6 cm = ⅓ * 3.14 * 1 * 6 cm³ = ⅓ * 18.84 cm³

When calculated, ⅓ * 18.84 cm³ equals approximately 6.28 cm³. Thus, the baker will require 6.28 cubic centimeters of chocolate to fill the cone-shaped mold.