Answer:
B
Step-by-step explanation:
The volume of a sphere is given by
[tex]V=\frac{4}{3}\pi r^3[/tex]
where r is the radius
For $2.75, we can get 1 large OR 2 small scoops.
Giant scoop has diameter 6, so radius is half of that, which is 3, hence the volume is:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=113.1[/tex]
Regular scoop's diameter is 4, hence radius is 2. So volume of 1 regular scoop is:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (2)^3\\V=33.51[/tex]
We can get 2 of those, so total volume is 33.51 + 33.51 = 67.02
Hence, the max volume for $2.75 is around 113, answer choice B.
