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
6.28 cubic centimeters
6.28 cubic centimeters
12.56 cubic centimeters
12.56 cubic centimeters
18.84 cubic centimeters
37.68 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. In this case, the radius is half of the diameter (2 cm / 2 = 1 cm).
Plugging in the values, we get V = (1/3)(3.14)(1^2)(6) = 37.68 cubic centimeters. So, the volume of chocolate needed to make the solid cone is 37.68 cubic centimeters.