a heap of wheat is in the form of a cone of diameter 9cm and the height 3.5m. find its volume .how much canvas cloth is required to just cover the heap?
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Given : Diameter = 9 m or radius = 9/2 = 4.5 m and h = 3.5 m
Volume of cone = 1/3πr²h
= 1/3*22/7*4.5*4.5*3.5
= 1559.25/21
Volume of the cone = 74.25 cu m
Just to cover the heap, we have to find the curved surface area of the cone. For slant height 'l' is needed.
So, l = √r²+h²
l = √4.5²+3.5²
l = √20.25+12.25
l = √32.5
l = 5.7008 m
Curved surface area of the cone = πrl
= 22/7*4.5*5.7008
= 564.3792/7
CSA of the cone = 80.6256 m²
So, area of the canvas required to cover the heap of wheat is 80.6256 sq m
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