Question:
The volume of the solid standing on the area common to the curves \( x^2 = y, y = x \) and cut off by the surface \( z = y - x^2 \) is:
The volume of the solid standing on the area common to the curves \( x^2 = y, y = x \) and cut off by the surface \( z = y - x^2 \) is:
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Use triple integrals for calculating volumes in the presence of complex boundaries like curves and surfaces.
Updated On: Mar 17, 2025
- 32
- \( \frac{1}{60} \)
- \( \frac{1}{32} \)
- 48
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The Correct Option is B
Solution and Explanation
The volume can be calculated using triple integration, first setting up the bounds based on the curves and surface, and then integrating to find the volume enclosed by the solid.
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