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Solution for A Conical Tent is 10 M High and the Radius of Its Base is 24 M. Find the Slant Height of The Tent. If the Cost of 1 2 M Canvas is Rs. 70, Find the Cost of the Canvas Required to Make the Tent. - CBSE Class 9 - Mathematics

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Question

A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the  tent. If the cost of 1 2 m canvas is Rs. 70, find the cost of the canvas required to make the tent.

Solution

Given that
Height of conical tent (h)=10m 

Radius of conical tent (r) = 24m 

Let slant height of conical tent be l 

`l^2=h^2+r^2=(10m)^2+(24m)^2=(100+576)m^2` 

=`676m^2` 

l=26m.

Thus, the slant height of the conical tent is 26 . 

(ii) Given that 

Radius (r)=24 

Slant height (l)=26 

CSA of tent =`pirl=22/7xx24xx26=13728/7m^2` 

Cost of  `1m^2`canvas S=Rs.70. 

`Cost of 13728/7m^2 canvas= 13728/7xx10` 

= Rs.1,37,280.

 Thus, the cost of canvas required to make the tent is Rs. 137280. 

  Is there an error in this question or solution?

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: 17
Solution for question: A Conical Tent is 10 M High and the Radius of Its Base is 24 M. Find the Slant Height of The Tent. If the Cost of 1 2 M Canvas is Rs. 70, Find the Cost of the Canvas Required to Make the Tent. concept: Surface Area of a Right Circular Cone. For the course CBSE
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