Question

If the radius of base of right circular
cylinder is halfed keeping the height same,
what is the natio of volume of the reduced
cylinder to that of the original?​

Answer 1

Answer:

Hope this help and please mark this as brainliest please

Step-by-step explanation:

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

∴ Volume of the cylinder = πr 2h

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) 2 h=π 4r2h

∴ The ratio of the new volume of the cylinder and initial volume of the original cylinder= πr2hπ 4r2 h= 41

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

∴ Volume of the cylinder= πr 2h

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) 2 h=π 4r2h

∴ The ratio of the new volume of the cylinder and initial volume of the original cylinder= πr2hπ 4r2 h= 41

∴ Ratio =1:4.