40. A circus tent is to be erected in the form of a cone surrounded on a cylinder The totalheight of the tent is 49 m diameter of the base in 42 m and height of the cylinder is 21 m. Find the cost of canvas needed to make the tent if the cost of canvas is Rs. 12.50 per m²
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A circus tent is to be erected in the form of a cone surmounted on a cylinder. The total height of the tent is 49 m. Diameter of the base is 42 m and height of the cylinder is 21 m. Find the cost of canvas needed to make the tent, if the cost of canvas is Rs. 12.50 /m
2
. (Take =
7
22
)
October 15, 2019avatar
Kinjal Riya
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ANSWER
Cylinder:
Diameter =42 m ⇒ Radius (r)=21 m
Height (h)=21 m
C.S.A. Cylinder =2πrh square cm
=2×
7
22
×21×21
=2772m
2
Cone:
Radius (r)=21 m, Height (h)=28 m
l=
4
2
+r
2
=
28
2
+21
2
=
1225
=35 m
C.S.A. of cone =πrl square cm
=
7
22
×21×35=2310m
2
Total surface area of circus tent
=2772+2310=5082m
2
The cost of 1 square metre = Rs. 12.50
Total cost of canvas =5082×12.50= Rs. 63525
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