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Solution for 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). - CBSE Class 9 - Mathematics

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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 𝜋= 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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APPEARS IN

 R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 20
Solution for 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). concept: Surface Area of a Right Circular Cone. For the course CBSE
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