The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of π.

252π ft3

261π ft3

288π ft3

324π ft3

The large sphere has a diameter of 12 feet What is the volume of the shaded figure Express the answer in terms of π 252π ft3 261π ft3 288π ft3 324π ft3 class=

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Answer:

The Answer is A. 252π ft3

Step-by-step explanation:

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]

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