water is dripping out from a conical funnel of semi vertical angle 45 at uniform rate of 2 cm^2/s (is its sure areea) through a tiny hole at vertical of the bottom wht is the rate of decrese of slant height when the slant height of water is 4cm
let r be the radius , h be the height and V be the volume of the funnel at any time t.
let l be the slant height of the funnel.
given: semi-vertical angle = 45 deg
in the triangle ADE;
therefore the eq(1) can be rewritten as:
differentiating wrt t :
since it is given that rate of change (decrease) of volume of water wrt t is
hope this helps you