Question

In a cylinder, if radius is halved and height is doubled, the volume will be: a:same b:doubled c:halved d:four times

Answer 1

the answer is option C ---- the volume will be HALVED 

Answer 2

Solution:-
Let the radius and height of the cylinder be 14 cm and 20 cm respectively.
Case 1
Therefore, the original volume will be as follows.
Volume of the cylinder = πr²h
= 22/7 × 14 × 14 × 20
Original volume = 12320 cm³
Case 2
If the radius is halved and the height is doubled, then the radius = 7 cm and the height = 40 cm
Volume of the new cylinder = 22/7 × 7 × 7 × 40
Volume of the new cylinder = 6160 cm³
Therefore, in a cylinder, if the radius is halved and the height is doubled, then the volume will be halved.
Correct option is (C).
Answer.