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
.(1 point)
Responses
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
12.56 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
6.28 cubic centimeters
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h.
Given that the diameter is 2 cm, the radius (r) is half of that, so r = 1 cm.
The height (h) is 6 cm.
Plugging these values into the volume formula:
V = 1/3 * 3.14 * (1 cm)^2 * 6 cm
V = 1/3 * 3.14 * 1 cm^2 * 6 cm
V = 1/3 * 3.14 * 6 cm^3
V = 3.14 * 6 cm^3
V = 18.84 cm^3
Therefore, the volume of chocolate needed to make a solid chocolate cone is 18.84 cubic centimeters.