Question

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 m. (1 point)

Answer 1

Are you sure

Answer 2

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.

In this case, the diameter of the base of the cone is given as 2 cm, so the radius is half of that, or 1 cm. The height of the cone is given as 6 cm.

Substituting these values into the formula, we have:
V = (1/3)π(1 cm)^2(6 cm)
V = (1/3)π(1 cm)(1 cm)(6 cm)
V = (1/3)(3.14)(1 cm)(1 cm)(6 cm)
V ≈ 6.28 cm^3

So, approximately 6.28 cubic centimeters of chocolate are needed to make a solid chocolate cone.

Answer 3

Apologies for the mistake. I made an error in my calculation.

The correct calculation should be:

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

So, approximately 6.28 cubic centimeters of chocolate are needed to make a solid chocolate cone. My previous response was correct.