Answer to Question #204818 in Electrical Engineering for Kabir

Question #204818
  • Find the volume of the solid generated by revolving the area enclosed between the evolute, 27ay^2 = 4(x-2a) ^3 and the parabola, y^2 = 4ax about x-axis.
1
Expert's answer
2021-06-11T06:10:33-0400

"V=\\int_a^{2a}(2 \\sqrt{ax})dx"


"V=[2a^{0.5}*2a^{1.5}]_a^{2a}"


"V=\\frac{2 \\sqrt{a}}{3}*2*x|_a^{2a}"

"V=\\frac{4 \\sqrt{a}}{3}[(2a)^{1.5}-a^{1.5}]"


"V=\\frac{4 \\sqrt{a}}{3}[2\\sqrt{2}*a\\sqrt{a}-a\\sqrt{a}]"


"V=\\frac{4 a\\sqrt{a}}{3}\\sqrt{a}[2\\sqrt{2}-1]"


"V=\\frac{4 a^2}{3}[2\\sqrt{2}-1]"


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