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What mass of liquid mercury would fill a glass tube with a diameter of 16.0 mm to a height of 25.0 cm? the density of mercury is 13.53gcm3.

Sagot :

The mass of liquid mercury that can fill glass tube is 680.365 gm.

We know that ,

Volume of cylinder = π[tex]r^{2} h[/tex]

where r is the radius of cylinder and h is the height

Here diameter of glass tube is 16mm

Thus the radius r = 8 mm

                           = 0.8 cm

Volume of glass tube = π [tex]0.8^{2}[/tex][tex]*25[/tex] [tex]cm^{3}[/tex]

Density of mercury given is [tex]13.53gm/cm^{3}[/tex]

We know that

Density =  Mass / Volume

∴ [tex]13.53gm/cm^{3}[/tex]  =  Mass/ π[tex]0.8*0.8 * 25[/tex]

Mass =  13.53 *π0.8*0.8*25

         = 680.36 gm

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