# A Sphere of Radius 6 Cm is Dropped into a Cylindrical Vessel Partly Filled with Water. the Radius of the Vessel is 8 Cm. If the Sphere is Submerged Completely, Then the Surface of the Water Rises by - Mathematics

MCQ

A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by

• 4.5 cm

• 3

• 4 cm

• 2 cm

#### Solution

Radius of the sphere = 6 cm.

Volume of the sphere

=4/3pir^3

=4/3 pi xx 6 xx 6 xx 6

and

Radius of the cylinder = 8 cm

Volume of the cylinder

=pir^2h

=pi xx 8 xx 8 xx h

Therefore,

Volume of the sphere = volume of the cylinder

4/3pi(6)^3 = pi(8)^2 h

or

h = (4 xx 72)/64 = 4.5 cm

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 8 | Page 88