Answer:
Volume = 655.73
Step-by-step explanation:
The sno-cone is composed of a hemisphere and a cone; therefore, its volume is

Now

and the volume of the hemisphere is

Therefore,


putting in h = 9.7 mm and r = 5.5 mm gives

which simplifies to give (rounded to the nearest hundreth)
![V=655.73\operatorname{mm}^3]()
which is our answer!