SOLUTION: CALCULUS(MAXIMA AND MINIMA):THE HEIGHT OF THE RIGHT CIRCULAR CYLINDER IS 50 INCHES AND DECREASES AT THE RATE OF 4 INCHES PER SECOND,WHILE THE RADIUS OF THE BASE IS 20 INCHES AND IN

Algebra ->  Test -> SOLUTION: CALCULUS(MAXIMA AND MINIMA):THE HEIGHT OF THE RIGHT CIRCULAR CYLINDER IS 50 INCHES AND DECREASES AT THE RATE OF 4 INCHES PER SECOND,WHILE THE RADIUS OF THE BASE IS 20 INCHES AND IN      Log On


   

Question 1045810: CALCULUS(MAXIMA AND MINIMA):THE HEIGHT OF THE RIGHT CIRCULAR CYLINDER IS 50 INCHES AND DECREASES AT THE RATE OF 4 INCHES PER SECOND,WHILE THE RADIUS OF THE BASE IS 20 INCHES AND INCREASES AT THE RATE OF ONE INCH PER SECOND.AT WHAT RATE IS THE VOLUME CHANGING?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 .

Related Rates

V =+pi%2Ar%5E2+%2Ah

dV/dt = pi+%282r+%28dr%2Fdt%29+h+%2B+r%5E2+%28dh%2Fdt%29%29  Applying Product rule 

Plug in values for r, h and (dr/dt) and (dh/dt) 

to find

dV/dt