Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
Solution:-
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
           [tex]V = \frac{4}{3}*\pi *r^3[/tex]
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The volume of hemisphere is:
           [tex]V = \frac{1}{2} *\frac{4}{3}*3.14 *r^3= \frac{2}{3}*3.14 *r^3\\\\V = \frac{2}{3}*3.14 *4^3 \\\\V =134.04128 cm^3[/tex]
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
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