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Determine the volume of the solid generated by rotating function `f(x) = sqrt(64 - x^2)` about the `x`-axis on `[7,8]`.
Volume =
Visualize how the given function creates circular cross-sections when rotated. Consider how the radius of each disc relates to the function `f(x) = sqrt(64 - x^2)`. Remember the formula for the area of a circle and how it fits into the integral for the disc method.
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Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
24.085543677522