Q29 of 52 Page 1

A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of the canvas used in making the tent, if the breadth of the canvas is 1.5 m.


Radius = 30/2 = 15 m


Height of the cylinder,


h = 5.5 m


∴ Height of the cone


= 8.25 – 5.5 = 2.75 m


Slant height of the cone,




= 61/4 m


Area of canvas = Cross Sectional area of cylinder + Cross Sectional area of cone


= 2πrh + πrl


= 2πr (2h + l)





m2


∴ Length of canvas =


= 825 m


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