Find the length of cloth used in making a conical pandal of height 100 m and base radius 240 m, if the cloth is 100 $π$ m wide.

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Solution

Height of conical pandal (h)=100 m

Base radius (r)=240 m

$∴ S l a n t h e i g h t (l) = \sqrt{r^{2} + h^{2}} = \sqrt{(240)^{2} + (100)^{2}} = \sqrt{57600 + 10000} = \sqrt{67600} = 260 m N o w a r e a o f c u r v e d s u r f a c e = π r l = π \times 240 \times 260 m^{2} = 62400 π m^{2} W i d t h o f c a n v a s c l o t h = 100 π m ∴ L e n g t h o f c l o t h = \frac{A r e a}{W i d t h} = \frac{62400 π}{100 π} = 624 m$

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