Advertisement Remove all ads

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

Options

  • 4.5 cm

  • 3

  • 4 cm

  • 2 cm

Advertisement Remove all ads

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?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 8 | Page 88
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×