the cost of canvas required to make the conical tent of base radius 7m at the rate of 8m² is rs 4400/- find the height of tent
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Step-by-step explanation:
To find the amount of canvas required to make a conical tent, we need to calculate the lateral surface area of the tent.
Lateral surface area of a cone of radius r, height h=πr
h
2
+r
2
As the total cost to make the tent is Rs 10048 at the rate of Rs 40 per sq m, total area LSA =
40
10048
=251.2 sq m
So, πr×
h
2
+r
2
=251.2
⇒3.14×8×
h
2
+8
2
=251.2
⇒
h
2
+8
2
=10
⇒h
2
+64=100
⇒h
2
=36
⇒h=6 m
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