An Important Question of M.L Aggarwal book of class 10 Based on Mensuration Chapter for ICSE BOARD.

You have to find the ratio between the total surface area of a cylinder to its curved surface area for which its radius and height is given.

This is the Question Number 12, Exercise 17.1 of M.L Aggarwal.

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# Find the ratio between the total surface area of a cylinder to its curved surface area given that its height and radius are 7.5 cm and 3.5 cm.

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Given radius of the cylinder, r = 3.5 cmHeight of the cylinder, h = 7.5 cmTotal surface area = 2r(r+h)

Curved surface area = 2rh

Ratio of Total surface area to curved surface area = 2r(r+h)/ 2rh

= (r+h)/h

= (3.5+7.5)/7.5

= 11/7.5

= 22/15

Hence the required ratio is 22:15.