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 12.56 cubic centimeters 12.56 cubic centimeters 37.68 cubic centimeters 37.68 cubic centimeters 6.28 cubic centimeters 6.28 cubic centimeters 18.84 cubic centimeters
The formula to calculate the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter is 2 cm, the radius is half of that, which is 1 cm.
Plugging in the values, we get:
V = (1/3)π(1^2)(6)
V = (1/3)π(1)(6)
V = (1/3)(3.14)(6)
V = (1)(3.14)(6)
V = 18.84 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is 18.84 cubic centimeters.