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Question
The ratio of the total surface area to the lateral surface area of a cylinder with base radius 80 cm and height 20 cm is
Options
2 : 1
3 : 1
4 : 1
5 : 1
Solution
5 : 1
Ratio of the total surface area to the lateral surface area `= "Total surface area"/"Latest surface area"`
`= (2pi("h"+"r"))/(2pi"rh")`
`= ("h" + "r")/"h"`
`= (20+80)/20`
`=100/20`
`= 5/1`
= 5 : 1
Hence, the required ratio is 5 : 1
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