The Indian tent

The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire?

Result

S =  14.595 m2

Solution:

h=3.5 m D=2.5 m  r=D/2=2.5/2=54=1.25 m s=h2+r2=3.52+1.2523.7165 m  S=π r s=3.1416 1.25 3.716514.5947=14.595 m2h = 3.5 \ m \ \\ D = 2.5 \ m \ \\ \ \\ r = D/2 = 2.5/2 = \dfrac{ 5 }{ 4 } = 1.25 \ m \ \\ s = \sqrt{ h^2+r^2 } = \sqrt{ 3.5^2+1.25^2 } \doteq 3.7165 \ m \ \\ \ \\ S = \pi \cdot \ r \cdot \ s = 3.1416 \cdot \ 1.25 \cdot \ 3.7165 \doteq 14.5947 = 14.595 \ m^2



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