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Find the volume of the shaded region of the cylinder

Find the volume of the shaded region of the cylinder-example-1

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\pi r^(2) (h)/(3) is the volume of a cone.
the volume of the cone is
27 \pi

\pi r^(2) h is the volume of a cylinder
the volume of the cylinder is
81 \pi

81 \pi - 27 \pi = 54 \pi which is the volume of the shaded region
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User Cyanfish
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