📝 Solids Of Revolution

Q1. Find the volume of the solid obtained by rotating \(y=\sqrt{x}\) from \(x=0\) to \(x=4\) about the \(x\)-axis.

💡 Difficulty: easy | ✅ Correct: A

Q2. A water tank is formed by rotating \(y=\sqrt{x}\) for \(0\le x\le9\) about the \(y\)-axis. Which integral gives its volume?

💡 Difficulty: medium | ✅ Correct: B

Q3. Find the exact volume of the solid formed by rotating the region under \(y=e^{-x}\) from \(x=0\) to \(\infty\) about the \(x\)-axis.

💡 Difficulty: hard | ✅ Correct: C