$\"\"$

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The base of a solid $\"\"$ is a circular disk with radius $\"\"$ .

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Parallel cross sections perpendicular to the base are squares.

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Equation of the circle with centre $\"\"$ and radius $\"\"$ is $\"\"$ .

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Draw the top view of the solid with parallel cross sections of length as $\"\"$ and radius of the base $\"\"$ is on $\"\"$ -axis.

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$\"\"$

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Observe the figure,

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Area of the square is $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$ .

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$\"\"$

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Find the volume of the solid by integrating the area with respect to $\"\"$ over the limits $\"\"$ to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Volume of the solid is $\"\"$ .

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$\"\"$

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Volume of the solid is $\"\"$ .