Problem 1: Use the method of cylindrical shells to find the volume V of the soli
ID: 2848103 • Letter: P
Question
Problem 1: Use the method of cylindrical shells to find the volume V of the solid S obtained by rotating the region bounded by the given curves about the x-axis: y=x^4 , x=0, y=81
The circumference of a typical shell in terms of y = ------(2 pi y)-------- (I got this one right).
The height of this shell in terms of y =-----------------
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problem 2: Let V be the volume of the solid S obtained by rotating about the y-axis the region bounded by y= sqrt(9x) and y=3x^2
Find V by slicing method
Explanation / Answer
Prob-2 :- pi* (y/3 - (y^4)/81)
Prob-1 :- height of cylinder= 3 - y^(1/4)
volume = 2*pi*y*(3 - y^(1/4))