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# Use integration to find the volume of the following solids. In each case, choose a convenient coordinate system, find equations for the bounding surfaces, set up a ...

## Question

###### Use integration to find the volume of the following solids. In each case, choose a convenient coordinate system, find equations for the bounding surfaces, set up a triple integral, and evaluate the integral. Assume $a, b, c, r, R,$ and $h$ are positive constants.Spherical cap Find the volume of the cap of a sphere of radius $R$ with thickness $h$.(FIGURE CAN'T COPY)

Use integration to find the volume of the following solids. In each case, choose a convenient coordinate system, find equations for the bounding surfaces, set up a triple integral, and evaluate the integral. Assume $a, b, c, r, R,$ and $h$ are positive constants.Spherical cap Find the volume of the cap of a sphere of radius $R$ with thickness $h$. (FIGURE CAN'T COPY)

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