Question

A conical tent with radius 7m has been made from a piece of canvas whose area is 551m2. find the volume of the tent assuming that all the stiching margins and wastage in curved while cutting amount to approxmately 1m2

Answer 1

πrl=550  [as 1 m in stiching]
22/7*7*l=550
22*l=550
l=550/22
l=25
l²=r²+h²
25²=7²+h²
625-49=h²
576=h²
h=24
volume=1/3πr²h
=1/3*22/7*7*7*24
=1232m³

Answer 2

r =7m
Area of canvas =551sq.cm
Wastage = 1 sq.cm
  
               πrl=551-1
                      =550
                   l=550×7÷22×7
                   l=25cm
                 
                 h=√l²-r²
                   =√625-49
                   =√576
                   =24cm
  
              V=1/3πr²h
                 =1/3×22/7×7×7×24
                 =1232m³