Question

The water level in a
cylinder raises by 16
cm when three
spheres are dropped
in it. If the ratio of the
radii of the spheres
is 1:2:3 and the
radius of the cylinder
is 6 cm, what is the
volume of the
smallest sphere in
cm3?​

Answer 1

Answer:

ANSWER

Diameter of the sphere (d)=6cm

Radius of the sphere (r) =2d=26=3cm

Diameter of the cylinder vessel (D) =12cm

Radius of the cylinder vessel (R)=212=6cm

Level of water raised =4cm

According to problem given :

Volume of water raised in the vessel = volume of the sphere

⇒πR2h=34πr2

⇒h=3×R2(4×r3)

         =3×6×64×3×3×3

⇒h=1cm

Therefore level of water raised =1cm.

Hence, the answer is 1.