Hence volume of shaded sphere is [tex]113.09734ft^{2}[/tex]
What is Volume?
Volume refers to part inside 3 d figure which tell how much space it occupies.
How to solve?
Given two concentric spheres one with D=12 ⇒ R= 6 feet other with r=3feet.
volume of shaded part[tex]=\frac{4}{3} \pi R^{3}-\frac{4}{3} \pi r^{3}[/tex]
[tex]=\frac{4}{3} \pi (R-r)^{3}[/tex]
[tex]=\frac{4}{3} \pi 3^{3}[/tex]=[tex]113.09734[/tex][tex]ft^{2}[/tex]
Hence volume of shaded sphere is [tex]113.09734ft^{2}[/tex]
Learn more about volume
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