##### Vll - Maths

Profit And Loss

##### Vl - Science

Effects of Rainfall - Droughts and Floods

##### Vlll - History

Indian Constitution

##### lX - Biology

Nutrients and Balanced Diet

##### X - Business Studies

Transactions in a Bank

X

Available for CBSE, ICSE and State Board syllabus.

Call our LearnNext Expert on 1800 419 1234 (tollfree)

OR submit details below for a call back

Asked by Indraneel

Oct 16, 2013

a cylinder of radius 12cm contains water to a depth of 20cm.a spherical iro ball is dropped into the cylinder and thus the level of water i raised by 6.75cm.find the radiuss of the ball.

please reply as soon as pssible

please reply as soon as pssible

Kishore Kumar

Member since

Given radius of the cylinder, r = 12 cm

It is also given that a spherical iron ball is dropped into the cylinder and the water level raised by 6.75 cm

Hence volume of water displaced = volume of the iron ball

Height of the raised water level, h = 6.75 m

Volume of water displaced = Ï€r^{2}h

= Ï€ Ã— 12 Ã— 12 Ã— 6.75 cm^{3}

â‡’ Volume of iron ball = Ï€ Ã— 12 Ã— 12 Ã— 6.75 cm^{3} â†’ (1)

But, volume of iron ball =

From (1) and (2) we get

â‡’ r^{3} = 3^{3}

âˆ´ r = 9

Thus the radius of the iron ball is 9 cm

It is also given that a spherical iron ball is dropped into the cylinder and the water level raised by 6.75 cm

Hence volume of water displaced = volume of the iron ball

Height of the raised water level, h = 6.75 m

Volume of water displaced = Ï€r

= Ï€ Ã— 12 Ã— 12 Ã— 6.75 cm

â‡’ Volume of iron ball = Ï€ Ã— 12 Ã— 12 Ã— 6.75 cm

But, volume of iron ball =

From (1) and (2) we get

â‡’ r

âˆ´ r = 9

Thus the radius of the iron ball is 9 cm