Practice30 Create account

The radius of a cylinder is doubled while its height is halved. Find the ratio of the new volume to the original volume.

Competition practiceAreas & Volumes

A2:1
B4:1
C1:2
D1:1

Step-by-Step Solution

New volume = π

(2 r)^{2} (h /2) =

π ×

4 r^{2} \times h /2 = 2

π

r^{2}

h

, which is twice the original π

r^{2}

h

. Ratio = 2 : 1.

Answer: A) 2:1

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Areas & Volumes practice questions

More Areas & Volumes practice

The floor of a hall 20 m long and 15 m wide is to be carpeted at ₹250 per m², and a…A rectangular field measures 50 m by 30 m. It is fenced all around at ₹40 per metre and…A water tank open at the top is 5 m long, 4 m wide and 3 m deep. Find the area of sheet…A cylindrical vessel open at the top has radius 7 cm and height 10 cm. Find the area of…From each corner of a square sheet of side 20 cm, a square of side 4 cm is cut off, and…