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

6.28 cubic centimeters
6.28 cubic centimeters

18.84 cubic centimeters
18.84 cubic centimeters

37.68 cubic centimeters
37.68 cubic centimeters

12.56 cubic centimeters

1 answer

To find the volume of a cone, we can use the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.

Given that the diameter of the cone is 2 cm, the radius would be half of that, so r = 1 cm. And the height of the cone is 6 cm.

Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (1 cm)^2 * 6 cm
V = 6.28 cm^3

Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.