Each triple integral calculates the volume of one of the solids pictured below.

Question

Each triple integral calculates the volume of one of the solids pictured below. Match each integral with the label A - E of its corresponding solid. As always, you may click on the thumbnail image to produce a larger image in a new window. Just take your time; a process of elimination will help with matches that are not obvious. integrate 1 -1 integrate square root 1-x^2 -square root 1-x^2 integrate square root 1-x^2-y^2 -square root 1-x^2-y^2 dz dy dx integrate square root 2 -2 integrate square root 2-x^2 -square root 2-x^2 integrate 4-x^2-y^2 x^2+y^2 dz dy dx integrate square root 1 -1 integrate square root 1-x^2 -square root 1-x^2 integrate 6-x-3y 0 dz dy dx integrate 2 -2 integrate square root 1-x^2/2 -square root 1-x^2/2 integrate square root 1-x^2/2 -y^2 -square root 1-x^2/2 -y^2 dz dy dx integrate 1 -1 integrate square root 1-x^2 -square root 1-x^2 integrate square root 1-x^2 -y^2+ 1 -square root 1-x^2 -y^2+ 1 dz dy dx

Explanation / Answer

Integral 1 = figure E

Integral 2 = figure B

Integral 3= figure A

Integral 4 = figure C

Integral 5 = Figure D

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