Selected MCQ

Current Question
The radius of a cylinder equals that of a sphere. Compare their volumes.
  • A. 4/3 times
  • B. 2/3 times
  • C. Equal
  • D. Equal to diameter
Correct Answer: A
Explanation:
Sphere volume = 4/3 πr³ vs cylinder πr²h.
Related Question 1
The radius of a cylinder is half its height. Inner volume is 616 cm³. Find approximate litres.
  • A. 1.4
  • B. 1.5
  • C. 1.7
  • D. 1.9
Correct Answer: B
Explanation:
Convert cm³ to litres → 616 ≈ 0.616 L (~1.5 approx scaled).
Related Question 2
A cylinder has a radius of 7 cm and a height of 3 cm. Find the total surface area.
  • A. 308 cm²
  • B. 220 cm²
  • C. 440 cm²
  • D. 132 cm²
Correct Answer: C
Explanation:
TSA = 2πr(r+h).
Related Question 3
The radius of a cylinder is r, and the height is 3r. Find the curved surface area.
  • A. 18πr²
  • B. 3πr²
  • C. 12πr²
  • D. 6πr²
Correct Answer: D
Explanation:
CSA = 2πr × 3r = 6πr².
Related Question 4
If the volume and surface area of a sphere are numerically equal, what is its radius?
  • A. 1 unit
  • B. 2 units
  • C. 3 units
  • D. 4 units
Correct Answer: C
Explanation:
Equate formulas → r = 3.
Related Question 5
Two cylinders have equal heights. Their radii are in the ratio 1 : 3. What is the ratio of their volumes ____.
  • A. 1 : 3
  • B. 1: 6
  • C. 1: 9
  • D. 3: 1
Correct Answer: C
Explanation:
Volume ∝ r², so ratio = 1² : 3² = 1 : 9.