1.

the radius of the base of a right circular cylinder is halved and the height is doubled . what is the ratio of the volume of the new cylinder to that of the original cylinder ?​

Answer»

Step-by-step explanation:

ANSWER

Let,

Height of the RIGHT circular cylinder =H

Radius of the base of the cylinder =R

Therefore,

Volume of the cylinder, V=πR

2

H

Now,

New height of the right circular cylinder H

′

=2H

New radius of the base of the cylinder R

′

=

2

R

Therefore,

New volume of the cylinder, V

′

=πR

′2

H

′

=π

4

R

2

2H

Therefore,

REQUIRED ratio =

V

V

′

=

πR

2

H

π

4

R

2

2H

=

2

1

=1:2

Therefore, the ratio of the volume of the new cylinder to that of the origional cylinder is 2:1.

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