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.
The volume of a cone can be calculated using the formula:
V = 1/3 * pi * r^2 * h
Where:
V = volume of the cone
pi = 3.14 (approximation of pi)
r = radius of the base of the cone (half the diameter)
h = height of the cone
In this case, the diameter of the cone is 2 cm, so the radius is 2 cm / 2 = 1 cm. The height is given as 6 cm.
Plugging these values into the formula, we have:
V = 1/3 * 3.14 * (1 cm)^2 * 6 cm
V = 1/3 * 3.14 * 1 cm^2 * 6 cm
V = 3.14 * 1 cm^2 * 2 cm
V = 3.14 * 2 cm^3
V = 6.28 cm^3
Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.