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
6.28 cubic centimeters
6.28 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
To find the volume of the chocolate cone, we can use the formula for the volume of a cone: V = (1/3)πr^2h.
First, let's find the radius of the cone. The diameter is given as 2 cm, so the radius would be half of that, which is 1 cm.
Now, we can substitute the values into the formula and calculate the volume:
V = (1/3)(3.14)(1^2)(6)
V = (1/3)(3.14)(1)(6)
V = (3.14)(2)
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.