A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and a has a diameter of 2 cm and a height of 6 cm what Volume of chocolate in cubic meters is needed to make a solid chocolate cone use 3.14 for pi.
To find the volume of a solid cone, we can use the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is a mathematical constant approximated as 3.14, r is the radius (half the diameter), and h is the height.
Given:
Diameter = 2 cm
Radius = Diameter / 2 = 2 cm / 2 = 1 cm = 0.01 m
Height = 6 cm = 0.06 m
π ≈ 3.14
Substituting these values into the volume formula:
V = (1/3) * 3.14 * (0.01 m)^2 * 0.06 m
Simplifying the equation:
V = (1/3) * 3.14 * 0.0001 m^2 * 0.06 m
V = (1/3) * 0.0000314 m^3 * 0.06 m
V = 0.00000157 m^3 * 0.06 m
V = 0.0000000942 m^3
Therefore, approximately 0.0000000942 cubic meters of chocolate is needed to make a solid chocolate cone using this mold.