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
37.68 cubic centimeters
37.68 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 V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height.
Given that the diameter of the base of the cone is 2 cm, the radius (r) is half of the diameter, which is 1 cm.
Plugging the values into the formula:
V = (1/3)(3.14)(1^2)(6)
V = 18.84 cubic centimeters
Therefore, the correct answer is 18.84 cubic centimeters.