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CBSE Class 9 Answered

How many metres of cloth 1m 10cm wide will be required to make a conical circus tent whose height is 12m and radius of the base is 16m ? Find also the cost of the cloth requiredat Rs 28/metre.
Asked by suprakash | 17 Jan, 2016, 11:49: AM
answered-by-expert Expert Answer
height of the conical tent = h = 12 m
radius = r = 16 m
Thus, Slant height = l = 20 m
 
Now,
Curved surface area of the conical tent
= 3.14 x r x l
= 3.14 x 16 x 20
= 1004.8 sq. m
 
Thus, Area of the cloth required to make the conical tent = 1004.8 sq.m
Width of the cloth = 1 m 10 cm = 1.1 m
 
Area of the cloth = its length x width
Thus, its length = Area / width = 1004.8 / 1.1 = 913.45 m = 913 m 45 cm
 
Cost of 1 sq. m of cloth = Rs. 28
Cost of 1004.8 sq. m cloth = Rs. 28 x 1004.8 = Rs. 28,134.40
 
Hence, 913 m 45 cm long cloth with width of 1 m 10 cm is required to make the conical tent of the given dimensions.
Also, the cost of the cloth required is Rs. 28/metre.
 
 
Answered by Kajal Gupta | 18 Jan, 2016, 02:39: AM
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