📝 Surface Area

📖 From Calculus • 7. Applications of the Definite Integral In Geometry, Science, and Engineering • 21 questions available

Practice MCQs for Surface Area. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

Easy Questions

Medium Questions

Hard Questions

Q1. What is the lateral surface area of a right circular cylinder with radius 3 m and height 5 m?

🔹 A. \(45\pi\)

🔹 B. \(30\pi\)

🔹 C. \(75\pi\)

🔹 D. \(60\pi\)

💡 Difficulty: easy | ✅ Correct: B

Q2. A water tower is shaped like a frustum of a cone with lower radius 4 m, upper radius 2 m, and slant height 5 m. What is its lateral surface area?

🔹 A. \(30\pi\)

🔹 B. \(40\pi\)

🔹 C. \(50\pi\)

🔹 D. \(60\pi\)

💡 Difficulty: medium | ✅ Correct: C

Q3. A solid is generated by rotating the line \(y = 2x\) from \(x=0\) to \(x=3\) about the y‑axis. Which expression gives its surface area?

🔹 A. \(2\pi\int_{0}^{3}x\sqrt{1+4}\,dx\)

🔹 B. \(2\pi\int_{0}^{3}2x\sqrt{1+4}\,dx\)

🔹 C. \(2\pi\int_{0}^{3}x\sqrt{1+4x^2}\,dx\)

🔹 D. \(2\pi\int_{0}^{3}2x\sqrt{1+4x^2}\,dx\)

💡 Difficulty: hard | ✅ Correct: D

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