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Q.

A circus is to be erected in the form of a cone surmounted on a cylinder. The total height of the tent  is 49m. Diameter of the base is 42m and the height of the cylinder is 21m21m. Find the cost of canvas needed to make the tent, if the cost of canvas is Rs. 12.50/m2Rs. 12.50/m2. (Take  π = 227).


Chapter/Topic:  Surface areas and volumes


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a

43525

b

53525

c

63578

d

63525 

answer is D.

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Detailed Solution

Cylinder:
seo
Diameter =42 m , Radius (r)=21 m
Height (h)=21 m
Curved Surface area of Cylinder =2πrh   m2
=2×227​×21×21
=2772 m2
Cone:
Radius (r)=21 m, Height (h)=28 m
l=h2+r2
=282+212
=1225 ​=35 m
Curved surface area  of cone =πrl  m2
=227​×21×35=2310 m2
Total surface area of circus tent=2772+2310=5082 m2
The cost of 1 m2 = Rs. 12.50
Total cost of canvas =5082×12.50= Rs. 63,525
Hence, Option (4) is the correct answer.
  
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