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
volume of a cone formula:
V = (1/3) * π * r^2 * h
Where:
V = volume of the cone
π ≈ 3.14159
r = radius of the cone
h = height of the cone
Given that the diameter of the cone is 2 cm, the radius (r) is half of that, which is 1 cm.
Plugging the values into the formula:
V = (1/3) * 3.14159 * (1 cm)^2 * 6 cm
Simplifying:
V = (1/3) * 3.14159 * 1 cm^2 * 6 cm
V = 3.14159 * 1 cm^2 * 2 cm
V = 3.14159 * 2 cm^3
V ≈ 6.28318 cm^3
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 6.28318 cubic centimeters.