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 pi (1 point)
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
Given that the diameter of the cone is 2 cm, the radius (r) is half of the diameter, so r = 1 cm. The height (h) of the cone is 6 cm.
Now, substitute r = 1 cm and h = 6 cm into the formula:
V = (1/3)π(1)^2(6)
V = (1/3)π(1)(6)
V = (1/3)π(6)
V = 2π
Now, substitute π = 3.14 into the formula:
V = 2(3.14)
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.