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

A. 18.84 cubic centimeters

B. 12.56 cubic centimeters

C. 6.28 cubic centimeters

D. 37.68 cubic centimeters

1 answer

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

Given that the diameter of the base is 2 cm, the radius would be 1 cm (half of the diameter).

Plugging in the values:
V = (1/3)π(1^2)(6)
V = (1/3)π(1)(6)
V = (1/3)π(6)
V = 2π(6) = 12π

Using π ≈ 3.14:
V ≈ 12 * 3.14 = 37.68 cubic centimeters

Therefore, the correct answer is:
D. 37.68 cubic centimeters