Question

A tent is in the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of the base is 14m. Find the cost of cloth required to make the tent at the rate of Rs.80 per m2 .​

Answer 1

Question :-

A tent is in the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of the base is 14m. Find the cost of cloth required to make the tent at the rate of Rs.80 per m2 .

Given :-

• height :- 13.5 - 3 = 10.5
• radius :- 14m

To find :-

• Find the cost of cloth required to make the tent at the rate of Rs.80 per m²

solution :-

$:\implies\sf \: csa \: of \: tent \: = csa \: of \: cylinder + csa \: of \: cone \:$

$:\implies\sf \: (2\pi \: rh + \pi \: r \:) \\ \\ \\ :\implies\sf \: \pi(2 \times 14 \times 3 + 14) \\ \\ \\ :\implies\sf \: \sqrt{ {14}^{2} + {10.5}^{2} } \\ \\ \\ :\implies\sf \: \pi(84 + 14 \times 11.5) \\ \\ \\ :\implies\sf \: \pi(84 + 245)$

$:\implies\sf \: \frac{22}{7} \times 317 \\ \\ \\ :\implies\sf \: 1034m^{2}$

∴ the cost is 1034m²