Find the volume of the solid generated by revolving the region bounded by , , and about the x-axis.

Answer and explanation

Correct answer: C.

  1. Step 1: Use disk method: .
  2. Step 2: Set up integral: .
  3. Step 3: Evaluate: .
Answer
8\pi.
Why not the others: '' integrates without squaring; '' forgets the factor of ; '' multiplies by 4.

Practise more Spatial Geometry and Integral Calculus.

Free questions with an explanation for every one, and full timed Thanawiya Amma (Egypt) mock tests.