Question

If the height and radius of a cylindrical jar are equal to radius of hemispherical bowl, then the ratio of their volumes is​

Answer 1

Answer:

It is given that Radius of the hemisphere = Height of the cylinder

∴ r=h

To get the ratio of their radii, we compare the volumes of hemisphere and right circular cylinder.

So,

3

2

πr

3

=πR

2

h

⇒

3

2

πr

3

=πR

2

×r

⇒

r

r

3

=

2

3R

2

⇒

R

2

r

2

=

2

3

=1.5

⇒

R

r

=

1.5

=1.225