A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in a 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
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 of the cone.
Given that the diameter of the base is 2 cm, the radius (r) can be calculated by dividing the diameter by 2: r = 2 cm / 2 = 1 cm.
The height of the cone is given as 6 cm.
Substituting the values into the formula, we have:
V = (1/3) * 3.14 * 1^2 * 6
= (1/3) * 3.14 * 1 * 6
= (1/3) * 3.14 * 6
= (3.14) * 6
= 18.84 cm^3
Therefore, approximately 18.84 cubic centimeters of chocolate is needed to make a solid chocolate cone.