Question

the diameter of two cones are equal if there is land Heights are in the ratio 5 :4 find the ratio of their curved surface areas

Answer 1

the diameters of two cones are equal so their radius will also be equal

the slant height of the two cones are x and y

x : y = 5 : 4

Curved surface area of cone is πrl

so curved surface area of the two cones are 

πrx and πry

So, the ratio of their curved surface area are

πrx/πry = 5/4

⇒ x/y = 5/4

So, the ratio of the curved surface area of two cones is 5 : 4