maths
A cylindrical tin 8cm in diameter contains water to depth of 4cm.If a cylindrical wooden rod 4cm in diameter and 6cm long is placed in the tin or floats exactly half 2.what is the New depth of water

" ... is placed in the tin or floats exactly half 2.what is the New depth of water "
Retype in proper English so I can understand it.posted by Reiny

A cylindrical tin 8cm in diameter contains water to depth of
4cm.If a cylindrical wooden rod 4cm in diameter and 6cm long is
placed in the tin it floats exactly half submerged.what is the New depth
of waterposted by Riliwan

volume of wooden rod = π(2^2)(6) = 24π
volume which is submerged = 12π
So the volume in the cylinder will change by that amount
π(4^2)h = 12π
16h = 12
h = 12/16 cm = 3/4 cm
new depth = 4+3/4 cm = 19/4 cm or 4.75 cmposted by Reiny
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