Question

A cylindrical bowl with base diameter 7m contains water. A solid sphere is dropped into it. The water level is increased by 4 2/3 m. Find the radius of the sphere​

Answer 1

Answer:

ANSWER

Increase in volume of cylinder = volume of sphere

Let increase in volume of cylinder be =πr

2

h, where r is its radius and h is its height.

So, πr

2

h=

3

4

πr

3

⇒16πh=

3

4

π3

3

where radius of the cylinder=4cm and radius of the sphere=3cm

⇒h=

3

4

×

16

27

=

16

36

=

4

9

=2.25cm

∴ water rises by 2.25cm in the vessel.