A large container with a cylindrical mouth is filled with water and closed with a piston. A vertical tube is now inserted through the piston. The radius of the tube is 5 cm, the radius of the piston is 10 cm and the mass of the pistoon is 20 kg. To what height will the water rise insdie the tube?

A large container with a cylindrical mouth is filled with water and cl

1.	A large container with a cylindrical mouth is filled with water and closed with a piston. A vertical tube is now inserted through the piston. The radius of the tube is 5 cm, the radius of the piston is 10 cm and the mass of the pistoon is 20 kg. To what height will the water rise insdie the tube?
Answer» Solution :AREA of the piston `=pi(r_(2)^(2)-r_(1)^(2))=pi(10^(2)-5^(2))=75picm^(2)`. Weight of the piston = `20xx1000xx`g dyn Let the height of the water COLUMN in the TUBE be h cm. Now, pressure of the piston = pressure of the water column in the tube or, `(20xx1000xxg)/(75pi)=hxx1xxg` `therefore" "h = (20000)/(75pi)=84.88cm`.