The base of a solid is the region in the first quadrant by the graph of y=cosx and the coordinate axes. If every cross-section perpendicular to the x-axis is a square, then the volume is...?

Question

anonymous · Answer

So is it saying that the solid is a prism? So the volume would be the area under the curve (which is simply $\int_0^{\pi/2}\cos x\ dx$) multiplied by the side length of the square (height of the prism)? Not sure if I'm interpreting the question correctly.

agentjamesbond007 · Answer

Well, I know the answer has to be 0.393

anonymous · Answer

Okay, to the best of my knowledge, enough information has not been given to compute an exact volume in this question. We are told what the base of the solid is, and what the cross-sections look like, but we do not know what the dimensions of the solid are other than the base. Unless I am missing something here. I am pretty sure there is more than one solid with that base that has square cross-sections. Is there any other information that you have to work with?

anonymous · Answer

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is the base region that shaded area?