Volume of Solid, AB Calc

Question

The base of a solid is the region bounded by the graph of y= (x^2) and the line y=1. Each cross section perpendicular to the y axis is a square. What is the volume of the solid?

How do we know which way to slice? Do i have to get the answer and times it by two because it includes both quadrant one and two?

Thank you

score 2 · Accepted Answer · answered Feb 14 '14 at 05:44

2

If you integrate in the direction of the y axis, your limits of integration become 0 and 1, and the differential volume element is given by $dV = (2x)^2dy$. Since $y = \sqrt{x}$, the integral can be written $\int^1_0 4ydy$

answered Feb 14 '14 at 05:44

Andrew

1,008

but the answer is 2 :( – chrissy kwon Feb 14 '14 at 05:47
oh that makes sense never mind, thank you!! – chrissy kwon Feb 14 '14 at 05:49

Volume of Solid, AB Calc

1 Answers1