Calculus 1
AP Calculus BC guys please help me I give medals

The base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are squares. What is the volume, in cubic units, of the solid?

Question

Calculus 1 
AP Calculus BC guys please help me I give medals 

The base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are squares. What is the volume, in cubic units, of the solid?

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@jigglypuff314

phi · Answer

It's hard (for me) to visualize
but the solid has slices that look like squares
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anonymous · Answer

Yeah, I can visualize it. but I don't know how to find the side of the rectangle

anonymous · Answer

let me show you what I know

anonymous · Answer

you now to find this volume of pics you need to find the limits of the integral? I know the integrals will go from -4 to 4 right?

anonymous · Answer

and the formula of the volume are area * thickness. but I don't know how to derive the formula of the squares with only one graph. If this question had to graphs, I could just subtract x2 -x1 and find the side of the square

phi · Answer

There is lots of symmetry.

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