Answer:
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
Step-by-step explanation:
The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)
Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.
If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]
[tex]V \approx 1911.498\,cm^{3}[/tex]
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
