Question

A and B are cylindrical containers. If 3/4 th of the water in container B would fill container A to its brim, what is the ratio of the radius of container A to container B?
With explanation​

Answer 1

$\huge \pink{answer}$

Answer 2

Given:

A and B are cylindrical containers.

3/4 th of the water in container B would fill container A to its brim.

To find:

what is the ratio of the radius of container A to container B?

Solution:

Let us assume the height of both the containers = h

also

The radius of Container A  = Ra

The radius of Container B  = Rb

Now,

The volume of container A = π Ra² h

It is given that this volume is equal to the 3/4 the volume of container B

π Ra² h = $\frac{3}{4}$π Rb² h

$\frac{Ra^2}{Rb^2}$ = $\frac{3}{4}$

$\frac{Ra}{Rb}$ = $\frac{\sqrt{3} }{2}$

Therefore the ratio of the radius of container A to container B will be

$\sqrt{3}$:4