volume of the solid obtained by revolving the cardioid r = a(1 + cosθ ) about the initial line

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find the volume of the solid obtained by revolving the cardioid r = a(1 + cosθ ) about the initial line

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******* 1 1	volume of the solid obtained by revolving the cardioid r = a(1 + cosθ ) about the initial line ---------------------------------------------- ----------------------------------------------- use the formula pi .∫ y²dx with suitable limits change over to polar form with x = rcosθ ; y =rsinθ replace r from r = a(1 + cosθ ) find the differential dx and use these in pi .∫ y²dx with suitable limits answer and some steps are given below ================ * * ================ other problems on applications of integration like area ,volume etc integration formulae
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