Question

if the radius of a cylindrical tank is reduced to half of original radius then what will be the change in its height if the volume of the cylinder remains same ?​

Answer 1

Answer:

1:4

Step-by-step explanation:

Correct option is C)

Let the radius of the cylinder is r and height is h

∴ Volume of the cylinder = πr2h

According to the question new  radius  is half of the initial radius 

∴New radius=2r

Height is h.

∴New volume of the cylinder = π(2r)2h=π4r2h

∴ The ratio of the new volume of the  cylinder and initial volume of the original cylinder=πr2hπ4r2h=41

∴ Ratio =1:4.