How do you find the volume of the solid obtained by revolving the curve given by #x=3cos^3(t)#, #y=5sin^3(t)# about the #x#-axis? Calculus Parametric Functions Determining the Volume of a Solid of Revolution 1 Answer Wataru Sep 20, 2014 #y^2=25sin^6t=25(1-cos^2t)^3=25[1-(x/3)^{2/3}]^3# By Disk Method, #V=pi int_{-3}^3y^2 dx=25piint_{-3}^3[1-(x/3)^{2/3}]^3dx# Answer link Related questions Question #fff79 Find the volume of the solid obtained by rotating the region bounded by the curves #y=x^3# and... See all questions in Determining the Volume of a Solid of Revolution Impact of this question 1729 views around the world You can reuse this answer Creative Commons License