
Yefim S. answered 12/11/23
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x3 = 8; x = 2; v = π∫02(64 - x6)dx = π(64x - x7/7)02 = π(128 - 128/7) = 768π/7

Michael C.
asked 12/11/23Use the method of cylindrical shells to find the volume V of the solid obtianed by the region bounded by the given curves about the x-axis.
y=x^3, y=8, x=0
Yefim S. answered 12/11/23
Math Tutor with Experience
x3 = 8; x = 2; v = π∫02(64 - x6)dx = π(64x - x7/7)02 = π(128 - 128/7) = 768π/7
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Doug C.
Here is a Desmos graph showing how to find the volume using shell method--same answer as Yefim. desmos.com/calculator/rxo4gfnmwn12/11/23