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 𝜋= 22/7).  

Answer 1

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