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Evaluate \newlineϵx2+y2+z2dV\int_{\epsilon}\sqrt{x^{2}+y^{2}+z^{2}} dV, where \newlineEE lies above the cone \newlinez=x2+y2z=\sqrt{x^{2}+y^{2}} and between the spheres \newlinex2+y2+z2=1x^{2}+y^{2}+z^{2}=1 and \newlinex2+y2+z2=64x^{2}+y^{2}+z^{2}=64.\newline

Full solution

Q. Evaluate \newlineϵx2+y2+z2dV\int_{\epsilon}\sqrt{x^{2}+y^{2}+z^{2}} dV, where \newlineEE lies above the cone \newlinez=x2+y2z=\sqrt{x^{2}+y^{2}} and between the spheres \newlinex2+y2+z2=1x^{2}+y^{2}+z^{2}=1 and \newlinex2+y2+z2=64x^{2}+y^{2}+z^{2}=64.\newline
  1. Calculate total tape needed: : Determine the total amount of tape needed and the amount of tape on each roll.
  2. Find number of rolls: : Divide the total tape needed by the tape per roll to find the number of rolls.

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