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
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the cone's base and h is the height of the cone.
In this case, the diameter of the cone is 2 cm, so the radius is half of that, or 1 cm. The height of the cone is 6 cm.
Plugging these values into the formula, we get V = (1/3) * 3.14 * 1² * 6.
Simplifying, we find V = (1/3) * 3.14 * 1 * 6 = 6.28 cm³.
Therefore, a volume of 6.28 cubic centimeters of chocolate is needed to make a solid chocolate cone.