A piston of mass M $$=$$ $$3kg$$ and radius R $$=$$ $$4cm$$ has a hole into which a thin pipe of radius $$1$$ cm is inserted. The piston can enter the cylinder tightly and without friction and initially it is at the bottom of the cylinder. $$750$$ gram of water is now poured into the pipe so that the piston and pipe are lifted up as shown. The height H of water in the cylinder is (Density$$ of water is $$103$$ $$kg/m3)

Question

Infinity Learn · Accepted Answer

(h$$ρ$$g)(A1$$ – $$A2) $$=$$ Mgh ×$$103$$ ×π×[$$(4$$ ×$$10-2)2$$ – $$(1$$ × $$10-2)2$$] $$=$$ $$3h$$× $$103$$× π× $$15$$× $$10-4$$ $$=$$ $$3$$⇒  h $$=$$ $$2/$$π m[π$$r12H+$$π$$r22h$$]ρ$$=0.75$$                                        Þ   $$H=1132$$$$π$$m

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