Mathematics

Problem

The region in the xy-plane bounded by the graph of

y = 4 - x^{2}

and the x-axis is the common base of two solids. • Solid A has cross-sections perpendicular to the x-axis that are squares. • Solid B has cross-sections perpendicular to the x-axis that are rectangles whose height is exactly twice their width. What is the value of

\dfrac{\text{Volume of B}}{\text{Volume of A}}

? a) 1 b)

\dfrac{1}{2}

c) 2 d) 4

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