Question

If a radius of the base of a right circuler
cylinder is halfed, keeping the height
Same, what is the ratio of the volume
of the reduced Cylinder to that of the original?​

Answer 1

Step-by-step explanation:

ANSWER

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

∴ Volume of the cylinder = πr

2

h

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

∴New radius=

2

r

Height is h.

∴New volume of the cylinder = π(

2

r

)

2

h=π

4

r

2

h

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

πr

2

h

π

4

r

2

h

=

4

1

∴ Ratio =1:4.