​Find the volume V of the solid...

User Generated

xwo0419

Mathematics

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


Anonymous
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