Question

A cylindrical tin 8 cm in diameter contain water to a depth of 4 cm. If a cylindrical wooden rock 4 cm in diameter and 6 cm long is placed in the tin it floats exactly if half submerged. what is the new depth.

Answer 1

half the block is 48π cm^3

so the water depth is increased by h cm, where
64πh = 48π
h = 3/4 cm
so the new depth is 4.75 cm