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
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
12.56 cubic centimeters
6.28 cubic centimeters
To find the volume of the chocolate cone, we can use the formula for the volume of a cone, which 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 would be half of that, which is 1 cm.
By substituting the values into the formula, we have:
V = (1/3)π(1 cm)^2(6 cm)
Simplifying this:
V = (1/3)π(1 cm)^2(6 cm)
V = (1/3)π(1 cm)(1 cm)(6 cm)
V = (1/3)π (6 cm^3)
V ≈ 6.28 cubic centimeters
Therefore, the correct answer is 6.28 cubic centimeters.