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
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
12.56 cubic centimeters
6.28 cubic centimeters
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
In this case, the diameter of the cone is given as 2 cm, so the radius is half of the diameter, which is 1 cm. The height is given as 6 cm.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * 1^2 * 6
V = (1/3) * 3.14 * 1 * 6
V = (1/3) * 3.14 * 6
V = (1/3) * 18.84
V = 6.28 cubic centimeters
Therefore, the correct answer is 6.28 cubic centimeters.