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
6.28 cubic centimeters
6.28 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
To calculate the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
First, calculate the radius by dividing the diameter by 2:
radius = 2 cm / 2 = 1 cm
Now, plug in the values into the formula:
V = (1/3) * 3.14 * 1^2 * 6
V = (1/3) * 3.14 * 1 * 6
V = (1/3) * 3.14 * 6
V = 6.28 cubic centimeters
Therefore, 6.28 cubic centimeters of chocolate is needed to make a solid chocolate cone.