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

18.84 cubic centimeters
18.84 cubic centimeters

6.28 cubic centimeters
6.28 cubic centimeters

37.68 cubic centimeter

1 answer

12.56 cubic centimeters

The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height of the cone.

Given:
r = 2 cm (diameter is 2 cm, so radius is 1 cm)
h = 6 cm

Plugging in the values:
V = (1/3) * π * 1^2 * 6
V = (1/3) * π * 6
V = 2π
V = 2 * 3.14
V = 6.28 cubic centimeters

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