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 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 yt point)
To find the volume of a cone, we use the formula:
Volume = (1/3) * π * r^2 * h
where r is the radius of the base and h is the height.
In this case, we are given the diameter of the base, which is cm. To find the radius, we divide the diameter by 2:
radius = cm / 2 = cm
Now we can calculate the volume:
Volume = (1/3) * 3.14 * cm^2 * 6 cm
Simplifying:
Volume = (1/3) * 3.14 * 3.14 * 6 cm^3
Volume ≈ 61.57 cm^3
Therefore, approximately 61.57 cubic centimeters of chocolate is needed to make a solid chocolate cone.