Question

Write the ratio of total surface area to the curved surface area of a cylinder of radius rand height h.

Answer 1

Total Surface Area of a cylinder =  `2pirh + 2pir^2`

Curved Surface Area of a cylinder =  `2pirh`

Ratio of Total Surface Area (TSA) to Curved Surface Area (CSA) is given by,

`(TSA)/(CSA) = (2pirh + 2pir^2)/(2pirh)`

            =`(2pir(h +r))/(2pirh)`

            = `(h+r)/h`

The ratio of Total Surface Area to Curved Surface Area is (h+r): h