the volume of the space inside a right circular conical tent is 138*2/7 and its vertical height is 4 m.find the canvas required to make the tent and also find the canvas cost at the rate of Rs 120/m2
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amount of canvas required to make tent = 47.14m²
total cost of canvas used for the tent = Rs 5656.8
Step-by-step explanation:
given, volume of conical tent = 138* 2/7
height = 4 m
radius = ?
volume of cone = 1/3πr²h
⇒138 * 2/7 = 1/3 * 22/7* r² * 4
r²= = 9.4
r = √9.4 = 3.06
⇒radius of the tent = 3m approx
slant height of the tent = √(3² +4²) = 5m
curved surface area of the tent = πrl = = 47.14 m²
amount of canvas requires = 47.14m²
canvas is used only on the curved surface area of the tent
cost of canvas = Rs 120/sq.m
total cost of canvas used for the tent = 47.14*120 = Rs 5656.8
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