thank you very much
thank you very much
Water is leaking out of an inverted conical tank at a rate of 11,000 cm3/min
at the same time that water is being pumped into the tank at a constant
rate.The tank has height 6 m and the diameter at the top is 4 m.If
the water level is rising at a rate of 20 cm/min when the height of the
water is 2 m, find the rate at which water is being pumped into the
tank. (Round your answer to the nearest integer.)
Water is leaking out of an inverted conical tank at a rate of 11,000 cm3/min
at the same time that water is being pumped into the tank at a constant
rate.The tank has height 6 m and the diameter at the top is 4 m.If
the water level is rising at a rate of 20 cm/min when the height of the
water is 2 m, find the rate at which water is being pumped into the
tank. (Round your answer to the nearest integer.)
英語人氣:127 ℃時(shí)間:2019-09-27 12:54:36
優(yōu)質(zhì)解答
水從一個(gè)倒圓錐狀的箱里以11000 cm3/分鐘的速度流出來.同一時(shí)間,水以一個(gè)不變的速度被泵入箱里.這個(gè)箱子高6m,頂部的直徑長4m.如果水位上升的速度為20cm/分鐘時(shí)水深2m.求水被泵入箱子的速度.(把答案約到最近的整數(shù))我能看懂 就是不會算!半徑:高度 = 2m:6mr(2m高的半徑):2m →r = (2/3)m2m時(shí)面積 = πr^2 = π(2/3m)^2 = (4/9)πm^2 = (40000/9)πcm^2速度:20cm/min*(40000/9)πcm^2 = (800000/9)πcm^3/min = 279252.68cm^3/min279252.68cm^3/min = v - 11000cm^3/minv = 290252cm^3/min答案正確不,好久沒做這些題了。。。不對啊我還有兩次機(jī)會v = 290253cm^3/min對不起,忘記小數(shù)點(diǎn)往上約了。這個(gè)應(yīng)該是答案了。順便一提,如果π是按3.14算,那么答案是290111cm^3/min。
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