Question

A conical tent that is 14m high and its area of base is 346.5 m^2.This tent is made by 1.5m wide canvas available in market @ Rs.80/m^2. If 23% of the cloth get wasted in cutting or stiching margins etc, so find the length of the cloth bought and also find the total cost of the cloth. no spamming​

Answer 1

$\color {red}\huge\bold\star\underline\mathcal{Question:-}$ we have to find length and cost of cloth ?

$\huge\underline\blue{\sf Given:}$ its height is 14m and base area is 346.5m² ..

$\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:Answer}}}}}}}}}}$

We know that , base of cone is circular in shape ,

so, base area = πr²

A/q,

$\pi {r}^{2} = 346.5 \\ \\ \\ {r}^{2} = 346.5 \times \frac{7}{22} = 110.25 \\ \\ r \: = 10.5m \:$

Now , in making tent with cloth, we need to find is CSA .

CSA of cone = πrl

l = √(r²+h²)

putting all values we get,

$csa = \frac{22}{7} \times 10.5 \times \sqrt{14 ^{2} + {10.5}^{2} } \\ \\ csa = 577.5 {m}^{2}$

Now it has been said that 23% cloths wasted in cutting etc .

so, we need 23% more cloth to make tent ..

Total area we need of cloth now =

$\frac{577.5 \times 123}{100} = 710.325m ^{2}$

Now length of cloth = 710.325 ÷ 15 = 47.35 m (Ans)

cost of cloth = 710.325 × 80 = 56826 Rs. (Ans)

$\huge\underline\mathfrak\green{Hope\:it\:Helps\:You}$

Answer 2

Answer:

Step-by-step explanation:

We know that , base of cone is circular in shape ,

so, base area = πr²

A/q,

Now , in making tent with cloth, we need to find is CSA .

CSA of cone = πrl

l = √(r²+h²)

putting all values we get,

Now it has been said that 23% cloths wasted in cutting etc .

so, we need 23% more cloth to make tent ..

Total area we need of cloth now =

Now length of cloth = 710.325 ÷ 15 = 47.35 m (Ans)

cost of cloth = 710.325 × 80 = 56826 Rs. (Ans)