Prove that the volume of a cone=1/3 the volume of a cylinder (consider that the area of the base is equal). Share with your friends Share 0 Rahul Raj answered this dear student area of base is equalradius of cone = radius of cylinder=rvolume of cone = 13πr2hvolume of cylinder = πr2hhencevolume of a cone=1/3 the volume of a cylinder 1 View Full Answer