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
37.68 cubic centimeters
6.28 cubic centimeters
12.56 cubic centimeters
The formula for the volume of a cone is V = (πr^2h) / 3, where r is the radius of the base and h is the height.
Given that the diameter is 2 cm, the radius (r) is half of that, so r = 1 cm.
Substitute the values into the formula:
V = (3.14 * 1^2 * 6) / 3
V = (3.14 * 1 * 6) / 3
V = 18.84 / 3
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone using that mold is 6.28 cubic centimeters.