9. [BIG Points] DETAILS PREVIOUS ANSWERS SCALCETB 3.9.025. MY NOTES PRACTICE ANOTHER Water is leaking out of an inverted conical tank at a rate of 8,000 cm3min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 rn and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cmfmin when the height of the water is 2 rn, nd the rate [in cm3fmin) at which water is being pumped into the tank. [Round your answer to the nearest integer.) _ x cm3fmin :' Enter a number. _____________________________________________________________________________________________________________________________________________________ 1 :Enhanced Feedback IPlease try again. Note that the radius rof the cross section at hight n can be obtained using similar triangles. Indeed, i m = W. Using the given values of the radius {half of the diameter) at the top and the height of the water 5 r .. : tank in this relation, you can solve for r. Next, you need to use the formula for the volume of a conical cylinder of height h and base radius 5 Ir: V = i 1:12.93 and plug in the expression for rto write V as a function of h. FinallyJ differentiate with respect to t using the Chain Rule to 3 . . a"! do _ , L . _ . . d'l/ _ . . .\\ obtain the relation between _ and __. Let C grate water J5 pumped r.".I,-. Then _ C (rare wateris pumped out}. Now, you can o't dc o't obtain the value of C. |. _____________________________________________________________________________________________________________________________________________________________________ 4 Need Help\"? _E Submit Mswer