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)

Answer 1

The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height. Since the diameter is given and we need the radius, we divide the diameter by 2:

r = 2 cm/2 = 1 cm

Now we can substitute the given values into the formula:

V = (1/3)(3.14)(1^2)(6)
V = (1/3)(3.14)(1)(6)
V = (3.14)(2)
V ≈ 6.28

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