Determining the Volume of a Solid of Revolution Calculus Parametric Functions Determining the Volume of a Solid of Revolution Key Questions 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? #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# Questions 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? Question #fff79 Find the volume of the solid obtained by rotating the region bounded by the curves #y=x^3# and #x#-axis in the interval #(1,2)#? Parametric Functions View all chapters Introduction to Parametric Equations Derivative of Parametric Functions Determining the Length of a Parametric Curve (Parametric Form) Determining the Surface Area of a Solid of Revolution Determining the Volume of a Solid of Revolution Prev