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# 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

ConceptSurface Area of a Right Circular Cone

#### 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

Slant height (l)=26

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

Cost of  1m^2canvas 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

RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 20: Surface Areas and Volume of A Right Circular Cone
Ex.20.10 | Q: 17 | Page no. 8
Solution 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.
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