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Asked by Nagarunja Last Modified
Answer To find the cost of the cloth required to make a conical tent, we'll need to:
Solution:
Step 1: Calculate Slant Height (l)
Given:
Using Pythagoras theorem, we can find the slant height (l) of the cone: l=r2+h2l=r2+h2
l=72+242l=72+242
l=49+576l=49+576 l=625l=625
l=25 ml=25m
Step 2: Find Total Surface Area of the Tent
Total surface area (A) of a cone is given by: A=πr(r+l)A=πr(r+l)
A=π×7×(7+25)A=π×7×(7+25) A=π×7×32A=π×7×32 A≈704 m2A≈704m2
Step 3: Determine Length of Cloth Required
Given:
The length of cloth required will be equal to the circumference of the base of the cone, which is: C=2πrC=2πr
C=2π×7C=2π×7 C≈44 mC≈44m
Step 4: Calculate Cost of Cloth
Given:
The cost of cloth required will be: Cost=Length of cloth required×Rate of clothCost=Length of cloth required×Rate of cloth
Cost=44×50Cost=44×50 Cost=Rs.2200Cost=Rs.2200
Conclusion:
The cost of the 5 m wide cloth required at the rate of Rs. 50 per metre is Rs. 2200.
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