📝 Volumes By Slicing

Q1. What is the volume of the solid obtained by rotating the curve \(y=\sqrt{x}\) from \(x=0\) to \(x=4\) about the x‑axis using the disk method?

💡 Difficulty: easy | ✅ Correct: A

Q2. Find the volume of the solid obtained by revolving the region bounded by \(y=x^{2}\) and \(y=2x\) about the y‑axis.

💡 Difficulty: medium | ✅ Correct: A

Q3. A solid has cross‑sectional area given by \(A(x)=\pi(1+x^{2})\) for \(0\le x\le 3\). What is the volume?

💡 Difficulty: hard | ✅ Correct: A