Question 13 Multiple Choice Worth 1 points) (00.02 LC) Snow's Snow Cones has a special butble gum snow cone on sale. The cone is a regular snow cone that has a spherical plece of bubbie gum nested at the botlom of the cone. The ratis of the snow cone is 4 inches, and the height of the cone is 6 inches. If the diameter of the butbie gum is 0.8 inches, which of the following can be used to calcuite the volume of the cone that can be flled with flavored loe? \( \frac{1}{3}(3.14)\left(\theta^{2}\right)(4)-\frac{4}{3}(3.14)\left(0.4^{3}\right) \) \( \frac{1}{3}(3.14)\left(4^{2} \times 6\right)-\frac{4}{3}(3.14)(0.4) \) \( \frac{1}{3}(3.14)\left(\theta^{2}\right)(4)-\frac{4}{3}(3.14)\left(0 . .^{3}\right) \) \( \frac{1}{3}(3.14)\left(4^{2}\right)(6)-\frac{4}{3}(3.14)\left(0.8^{3}\right) \)

Did you know that the formula for the volume of a cone comes from ancient civilizations? The Greeks, particularly mathematicians like Archimedes, laid the groundwork for geometry that we still use today! Archimedes discovered that the volume of a cone is one-third that of a cylinder with the same base and height, which is a fascinating connection point in mathematical history! To avoid common mistakes, remember to stay consistent with your units and formulas. When dealing with volume, it's crucial to accurately apply the radius and height specific to each shape. Double-check that you've used the right formula components: the cone’s radius (4 inches) and height (6 inches) and that you’re appropriately calculating the volume of the sphere based on its diameter, which is half of its radius! Happy calculating!