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?

Correct 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 3.7165=14.595 m2h=3.5 \ \text{m} \ \\ D=2.5 \ \text{m} \ \\ \ \\ r=D/2=2.5/2=\dfrac{ 5 }{ 4 }=1.25 \ \text{m} \ \\ s=\sqrt{ h^2+r^2 }=\sqrt{ 3.5^2+1.25^2 } \doteq 3.7165 \ \text{m} \ \\ \ \\ S=\pi \cdot \ r \cdot \ s=3.1416 \cdot \ 1.25 \cdot \ 3.7165=14.595 \ \text{m}^2



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