Kindly solve the both of the parts of the word problem related to differential e
ID: 2844327 • Letter: K
Question
Kindly solve the both of the parts of the word problem related to differential equation given in the picture. Thank you!
W 6 Due Tuesday, January 21. This is adapted from Problem #58 in Section 1.4.A water tank has the shape obtained by revolving the curve y = x4/3 around y-axis1 (so the horizontal cross-sections are circles). It is full to a height of 12 feet at noon, when a plug at the bottom is removed and the water begins to drain out. It is observed at 1: 00 PM that the depth of the water is 6 feet. Determine the area of the drain. When will the tank be empty?Explanation / Answer
Y = height of water a time t
= 12 -k*t
given at t = 1 hour , y = 6 feet
hence k = 12-6 = 6
1) when y = 6 , then X = [6]^3/4 = 3.83
area = 3.14*(3.83)^2 = 46.148
2) time required to emepty = 12/k = 2 hour
hence tank will emepty at 2 pm
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