Question

A 5m wide cloth is used to make a conical tent of base diameter 14m and height 24m find the cost of cloth used at the rate of rs 25 per meter

Answer 1

this is the answer of a question

Answer 2

$\large\underline{Given:-}$

• Diameter ⇢ 14 cm
• Height ⇢ 24 cm

$\large\underline{To find:-}$

• find the cast of cloth used.

$\large\underline{Solutions:-}$

• $\: \: \: \: \: Slant \: \: height \: \: {(l)} \: \: \leadsto \: \: \sqrt{{r}^{2} \: \: + \: {h}^{2}}$

$\: \: \: \: \: \leadsto \: \: \sqrt{{7}^{2} \: + {24}^{2}}$

$\: \: \: \: \: \leadsto \: \: \sqrt{{49} \: + {576}}$

$\: \: \: \: \: \leadsto \: \: \sqrt{625}$

$\: \: \: \: \: \leadsto \: \: {25}$

✰ Curved surface area of cone ⇢πrl

$\: \: \: \: \: \leadsto \: \: {22}{7} \: \times \: {7} \: \times \: {25}$

$\: \: \: \: \: \leadsto \: \: {22} \: \times \: {25}$

$\: \: \: \: \: \leadsto \: \: {550} \: {m}^{2}$

• 550 m² meter cloth is required.

✰ CSA of cone = Area of cloth

$\: \: \: \: \: \leadsto \: \: {5x} \: \: = \: \: {550}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \frac{550}{5}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {110}$

★ So, 100 meter cloth is required.

»» Cost of cloth ⇢ 25 × 110

⇢ 2750

✰ Hence, Cost of cloth ⇢ 2750

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