Question

The radius of a sphere and that of a cylinder are equal. The ratio of the radius to the height of the cylinder is 3:4. What is the ratio of their volumes?​

Answer 1

Step-by-step explanation:

Volume of cylinder V

1

=πr

2

h

⇒V

1

=πh

3

dt

dV

1

=3πh

2

dt

dh

Volume of sphere V

2

=

3

4

πR

3

⇒

dt

dV

2

=4πR

2

dt

dR

Given h=R

⇒

dt

dh

=

dt

dR

So,

dt

dV

1

dt

dV

2

=

3

4