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 (pi symbol)

1 answer

The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.

In this case, the diameter of the base is 2 cm, so the radius is half of that, which is 1 cm.

Plugging in the values, we get:
V = (1/3) * 3.14 * 1^2 * 6

Simplifying, we get:
V = (1/3) * 3.14 * 1 * 6 = (1/3) * 3.14 * 6 = 6.28

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