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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration
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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.
Answer:
Solution:
The area of the cylinder is determined by adding the areas of its two circular bases and curved surface.
Given radius of the cylinder, r = 3.5 cm
Height of the cylinder, h = 7.5 cm
Total surface area = 2π r(r+h)
Curved surface area = 2π rh
Ratio of Total surface area to curved surface area = 2π r(r+h)/ 2π rh
= (r+h)/h
= (3.5+7.5)/7.5
= 11/7.5
= 22/15
Hence the required ratio is 22:15. 
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