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 metre.

Answer 1

Given :-

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

• Radius of conical tent (r) = 4 m

• Rate of preparing tent =Rs. 200 per m²

To find :-

• Cost of required cloth = ?

Solution :-

At first, formulas used:-

• CSA of cone = π * radius * Slat height
• Area of cloth = CSA of cone.
• Cost = Area * Rate

Here,

→ CSA of cone = 22/7 × 4 × 15

→ CSA of cone = 88/7 × 15

→ CSA of cone = 1320/7

→ CSA of cone = 188.57 m²

Now as we got CSA of cone = 188.57 m²

∴ Area of cloth required = 188.57 m²

Again,

Cost of cloth required = Area * Rate

Rate is given as Rs.200 per m²

Therefore,

→ Cost of cloth required = 188.57 × 200

→ Cost of cloth required = Rs.37714

So your required answer:-

Cost of cloth required to prepare tent is Rs.37714 .

Answer 2

★ GiveN :

Slant height of cone (l) = 15 m

Radius of conical tent (r) = 4 m.

Rate = 200 per m².

$\rule{200}{1}$

★ To FinD :

We have to find the cost of cloth required to prepare tent.

$\rule{200}{1}$

★ SolutioN :

We know the formula to find the C.S.A of cone.

$\Large{\implies{\boxed{\boxed{\sf{C.S.A = \pi rl}}}}}$

★ Putting Values ★

$\sf{\dashrightarrow C.S.A = \frac{22}{7} \times 15 \times 4} \\ \\ \sf{\dashrightarrow C.S.A = \frac{1320}{7}} \\ \\ \sf{\dashrightarrow C.S.A = 188.57} \\ \\ \Large{\implies{\boxed{\boxed{\sf{C.S.A = 188.57 \: m^2}}}}}$

$\therefore$ Area = 188.57 m²

$\rule{150}{2}$

Now,

★ Cost of cloth required = Cost per m² * Area

$\sf{\dashrightarrow Cost = 200 \times 188.57} \\ \\ \sf{\dashrightarrow Cost = 37714 } \\ \\ \Large{\implies{\boxed{\boxed{\sf{Cost = Rs. \: \: 37714}}}}}$