Mathematics, 20.09.2020 17:01 avilaaa
In this problem, we will find the volume of a solid with circular base of radius 2, for which parallel cross-sections perpendicular to the base are squares. To do this, we will assume that the base is the circle x2+y2=4, so that the solid lies between planes parallel to the x-axis at x=2 and x=โ2. The cross-sections perpendicular to the x-axis are then squares whose bases run from the semicircle y=โโ4โx2 to the semicircle y = โ4โx2
Required:
a. What is the area of the cross-section at x?
b. What is the volume of the solid ?
Answers: 2
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