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Question
The circumference of the base of a 10 m height conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use it ๐= 22/7).
Solution
WKT, CSA of cone = `pirl`
Given circumference=`2pir`
⇒` 2xx22/7xxr=44⇒ r/7=1⇒ r=7m`
`∴ L= sqrt(r^2+h^2)=sqrt(7^2+10^2)=sqrt149m`
`∴ CSA of tent=pirl=22/7xxsqrt149=22sqrt149`
∴ The length of can vas used in making tent
`="Area of canvas"/"width of canvas"`
`22sqrt149/2=11sqrt49`
= 134.2m
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