Kai M.
asked 02/15/23What is the volume, in cubic units, of the solid?
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y = 4. Cross sections of the solid perpendicular to the base are squares. What is the volume, in cubic units, of the solid?
1 Expert Answer
Yefim S. answered 02/16/23
Math Tutor with Experience
Area of cross section A(x) = (4 - x)2/2. So, volume v = ∫04(8 - 4x + x2/2)dx = (8x - 2x2 + x3/6)04 = 32/'3
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Daniel B.
02/15/23