Question

a tent is in shape of a right circular cylinder up to a height of 3 m and conical above it . The total height of tent is 13.5m and the radius of its base is 14m . Find the cost of cloth required to make the tent at the rate of ₹80per square metre.​

Answer 1

$\Huge{\fbox{\underline{\blue{\mathfrak{ Solution:- }}}}}$

$\sf CSA\ of\ cylinder =2\pi rh\\\\2 \times \frac{22}{7} \times 14 \times 3\\\\ = 264\ m^{2}\\\\Radius=14\ m\\\\Height =13.5-3=10.5\\\\l^{2} = r^{2} + h^{2}\\\\14^{2} + 10.5^{2} \\\\ 196 + 110.25\\\\ = 306.25 \\\\ l = \sqrt{306.25 } \\\\ l = 17.5\ m\\\\CSA\ of\ cone =\pi rl\\\\\\ \frac{22}{7} \times 14 \times 17.5 \\\\ = 770 m^{2}\\\\Total\ area=264+770\\\\1034 m^{2}\\\\Cost\ of\ cloth\ per\ square\ m = Rs\ 80\\\\Cost\ of\ cloth= 80 \times 1034 \\\\ = 82720$