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Description
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = ln 7x, y = 4, y = 6, x = 0; about the y-axis
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Explanation & Answer
the required volume is pi() x^2 dy taken between y=4 to y=6
7x = e^y
x = 1/7 * e^y
x^2 = 1/49 * e ^(2y)
pi * 1/49 *1/2 * e^(2y) taken between y =4 to y=6
1/98 * pi* (e^12- e^8)
5121.881
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