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 π

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the volume of a cone, you can use the formula:

V = (1/3)πr^2h

Where:
V = Volume
r = radius of the base of the cone
h = height of the cone

Given that the diameter of the cone is 2 cm, we can find the radius by dividing the diameter by 2:
r = 2 cm / 2 = 1 cm

So, the radius of the base of the cone is 1 cm and the height is 6 cm.

Now, plug these values into the formula:
V = (1/3) x 3.14 x (1 cm)^2 x 6 cm
V = (1/3) x 3.14 x 1 cm^2 x 6 cm
V = (1/3) x 3.14 x 1 x 6 cm^3
V = (1/3) x 3.14 x 6 cm^3
V = 2 x 3.14 cm^3
V = 6.28 cm^3

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