The expression which is used to calculate the volume of the Snowy's Snow Cones that can be filled with flavored ice is 1 over 3(3.14)(42)(6) − 4 over 3(3.14)(0.83).
Volume of cone is the amount of quantity, which is obtained it in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone.
The radius of the snow cone is 4 inches, and the height of the cone is 6 inches. The volume of this snow cone is,
[tex]V_c=\dfrac{1}{3}\pi r^2h\\\\\\V_c=\dfrac{1}{3}(3.14)(4^2)(6)[/tex]
The volume of the sphere can be calculated with the following formula.
[tex]V=\dfrac{4}{3} \pi r^3[/tex]
Here, r is the radius of the sphere. The diameter of the bubble gum is 0.8 inches. Thus, the radius of it is 0.4 inches (half of diameter). The volume of it is,
[tex]V_s=\dfrac{4}{3}\pi (0.8)^3[/tex]
The volume of remaining cone is,
[tex]V=\dfrac{1}{3}(3.14)(4^2)(6)[/tex] [tex]-\dfrac{4}{3}\pi (0.8)^3[/tex]
Thus, the expression which is used to calculate the volume of the Snowy's Snow Cones that can be filled with flavored ice is 1 over 3(3.14)(42)(6) − 4 over 3(3.14)(0.83).
Learn more about the volume of cone here;
brainly.com/question/26666727
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