The region in the xy-plane bounded by the graph of and the x-axis is the common base…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The region in the xy-plane bounded by the graph of y=4−x2y = 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 Volume of BVolume of A\dfrac{\text{Volume of B}}{\text{Volume of A}}? (a) 1 (b) 12\dfrac{1}{2} (c) 2 (d) 4

Related theory

Browse the problem library