Question

if base radius of a right circular cylinder is Halved keeping the height same find the ratio of the volume of the reduced cylinder to that of the original cylinder​

Answer 1

Answer:

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.

Step-by-step explanation:

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