Question

If slant height of a conical tent is 15 m and the radius of
base is 4m . find the cost of cloth required to prepare tent
at the rate o f Rs 200 per square meter .

Answer 1

$\bold{\huge{\underline{\rm{ Given :}}}}$

• Slant height of conical tent (l) = 15m

• The Radius of conical tent (r) = 4m

• The Rate of Preparing tent = 200 per m²

$\bold{\huge{\underline{\rm{ To\:Find :}}}}$

Cost of cloth required to prepare tent = ?

$\rule{200}{1}$

$\huge{\underline{\purple{\rm{Solution→}}}}$

We know that :-

• CSA of Cone = π × radius × slant height (πrl)
• And Area of cloth = CSA of Cone

By using this formula :-

$→csa = \frac{22}{7} \times 4 \times 15 \\ \\ →csa = \frac{88}{7} \times 15 \\ \\→ csa = \frac{1320}{7} \\ \\ →csa = 188.57 \: {m}^{2}$

So The Area of clothe = 188.57 m²

Now ,

→ The cost of required clothe = Area × Rate

→ The cost of required clothe = 188.57 × 200

→ The cost of required clothe = 37714 m²

Hence , the cost of required cloth is Rs 37714.

$\rule{200}{1}$