A cylindrical jar, of radius 3 cm, contains water to a depth of 5 cm. The water is then poured at a steady rate into an inverted conical container with its axis vertical. ?
After t seconds, the depth of water in this container is x cm and the volume,V ml, of water that has been transferred is given by #V=1/3pix^3# .
Given that all the water has been transferred in 3 seconds, Find
1) #(dV)/dt# in terms of #pi#
2) the rate at which x is increasing at the moment when x=2.5
After t seconds, the depth of water in this container is x cm and the volume,V ml, of water that has been transferred is given by
Given that all the water has been transferred in 3 seconds, Find
1)
2) the rate at which x is increasing at the moment when x=2.5
1 Answer
Feb 4, 2018
See the answer below:
Explanation:
Credits:
1.Thanks to omatematico.com (sorry for Portuguese) who remind us on the related rates, at the website:
2.Thanks to KMST who remind us on related to related rates, at the web site:
https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.831122.html