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Question

A heap of wheat is in the form of cone of diameter 9 m and height 3.5 m . Find volume.How much canvas cloth is required to just cover the heap?(Use π =3.14.)


Solution

Given : Diameter = 9 m or radius =9/2 = 4.5 m and h = 3.5 m
Volume of cone = 13πr2h
= 13×227×4.5×4.5×3.5
= 1559.2521
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
= 227×4.5×5.7008
= 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


Mathematics
Secondary School Mathematics IX
Standard IX

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