A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius of each is to the height of each as 3:4.
Let us assume radius of cone=r.
Also, radius of cylinder=r.
And, height of cylinder=h.
Let` C_1` , be the curved surface area of cone
Similarly,` C_2` be the curved surface area of cone cylinder.
According to question `C_2/C_1=8/5`