Question
Wed February 27, 2013 By: Sahil
 

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

Expert Reply
Thu February 28, 2013
Radius of the cylinder = 30/2 = 15 m
Height of the cylinder = 5.5m
Total height of the tent = 8.25 m
So, the height of the cone = 8.25 - 5.5 m = 2.75 m
Slant height of cone (l) = 
 
Since, the area of the canvas would be equal to the total surface area of the tent. 
Curved surface area of cone = pi*r*l = 718.93 m2
Curved surface area of cylinder = 2*pi*r*h = 518.57 m2
So, total CSA of tent = 1237.5m2
 
Let the length of the canvas be L
Hence, L* 1.5 = 1237.5
L = 825 m

So, the length of the canvas is 825 m
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