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

37.68 cubic centimeters
37.68 cubic centimeters

6.28 cubic centimeters

1 answer

To find the volume of a cone, we use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a constant (3.14), r is the radius, and h is the height.

Given that the diameter of the cone is 2 cm, the radius is 1 cm (since radius = diameter/2). The height is given as 6 cm.

Plugging these values into the formula, we get:

V = (1/3) * 3.14 * (1^2) * 6
= (1/3) * 3.14 * 1 * 6
= (1/3) * 3.14 * 6
= 6.28 cubic centimeters

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