A right circular cone of diameter r cm and height 12cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12cm. If the cone is then removed, find the to which the water level will fall.

adius of base of cone=r/2

radius of base ofcylinder=r

height of cone=12cm

h of water before cone ws tkn out=12cm

thus, vol of water left in cylinder aftr cone is tken out=vol of water - vol of cone

=pi x r^2 x 12 - 1/3x pi x(r/2)^2 x 12

=pi x r^2x11

u cn observe that 11 is present height (or "h") of the water(refer cylinder 's volume formula)