Volume of Cones Quick Check A professional baker uses a chocolate mold to make decorations for cakesOne 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 pi.
The formula to calculate 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:
Diameter = 2 cm
Radius (r) = Diameter / 2 = 2 cm / 2 = 1 cm
Height (h) = 6 cm
π = 3.14
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (1 cm)^2 * 6 cm
V = (1/3) * 3.14 * 1 cm^2 * 6 cm
V = (1/3) * 3.14 * 6 cm^3
V = (3.14 * 6 cm^3) / 3
V = 18.84 cm^3
Therefore, the volume of chocolate needed to make a solid chocolate cone is 18.84 cubic centimeters.