Question

A conical tent has the area of its base as 154sqm and it's curved surface area as 550sqm.Find the volume of the tent

Answer 1

Area of base of the cone = πr²=154 m²
                                               r²=154*7/22
                                           r=√49
                                         r=7m

Curved surface area = πrl=550m²
                                     l=550*7/22*7=25m

l²=r²+h²
h=√l²-r²
h=√25²-7²
h=√625-49
h=√576=24m

Volume of a cone= 1/3πr²h=1/3*22/7*7*7*24=1232m³
Therefore the volume of the conical tent is 1232m³

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