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Solection: The surfall area S=pi rsqrt(h^(2)+r^(2)) cond volum r=(1)/(3)pir^(2)h{:[AV(r","h)=(pi)/(3)(:2rh,r^(2):)],[x+g(r","h)=x(:pisqrt(r^(2)+h^(2))+(pi r(2r))/(2sqrt(r^(2)+h^(2))),(pi r(2h))/(2sqrt(r^(2)+h^(2))):)]:}lambda grad g(r,h)=lambda(:(pi(2r^(2)+h^(2)))/(sqrt(r^(2)+h^(2))),(pi rh)/(sqrt(r^(2)+h^(2))):)write eqtias the corsting adinelyse the cots r edtion to form a syltu of epsias,{:[(pi)/(3)2rh=lambda(2r^(2)+h^(2))/(sqrt(r^(2)+h^(2)))-(-1)],[(pi)/(3)r^(2)=(lambda pi rh)/(sqrt(r^(2)+4^(2)))],[" तr "sqrt(r^(2)+h^(2))=4],[(2gamma hsqrt(r^(2)+h^(2)))/(3(2sqrt2^(2)+h^(2)))=(gammasqrt(r^(2)+h^(2)))/(3h)],[h^(2)=2r^(2)],[" nav "pi rsqrt(3r^(2))=4],[" or "Pisqrt3r^(2)=4=>r=(2)/((pisqrt3)^(1//2))],[" or "h^(2)=2xx(4)/(pisqr ... See the full answer