Answer:
a. Marcin should divide the volume of the sphere by 2.
b. [tex]V_{h.sphere}=128\pi cm^3[/tex]
Step-by-step explanation:
In order to solve this exercise it is important to analize the information given in the exercise.
a. You know that formula that is used to calculate the volume of a sphere is the shown below:
[tex]V_{sphere}=\frac{4}{3} \pi r^3[/tex]
Where "r" is the radius of the sphere.
Based on the data given in the exercise, the radius is:
[tex]r=64\ cm[/tex]
So, substiting values and evaluating, Marcin get that the volume of the sphere is:
[tex]V_{sphere}=256\pi \ cm^3[/tex]
Then, since he needs to find the volume of a the half sphere, Marcin should divide the volume of the sphere by 2.
b. Applying that procedure, Marcin will get that the volume of the half sphere is the following:
[tex]V_{h.sphere}=\frac{V_{sphere}}{2}\\\\V_{h.sphere}=\frac{256\pi cm^3}{2}\\\\V_{h.sphere}=128\pi cm^3[/tex]
