Selected MCQ

Current Question
If radius becomes one-third but volume remains constant, length changes by ____.
  • A. 1 time
  • B. 3 times
  • C. 6 times
  • D. 9 times
Correct Answer: D
Explanation:
Volume constant → length ∝ 1/r².
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
The radius of a cone is 3 cm, and the height is 4 cm. Find its volume.
  • A. 12π cm³
  • B. 6π cm³
  • C. 8π cm³
  • D. 10π cm³
Correct Answer: A
Explanation:
Volume = 1/3 πr²h.
Related Question 3
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 4
If the radius of a circle is halved, area becomes ____.
  • A. Half
  • B. One-fourth
  • C. Same
  • D. Double
Correct Answer: B
Explanation:
Area ∝ r² → becomes 1/4.
Related Question 5
If the radius of a circle is doubled, area becomes ____.
  • A. Double
  • B. Four times
  • C. Same
  • D. Half
Correct Answer: B
Explanation:
Area ∝ r² → becomes 4 times.