A 5m wide cloth is used to make a conical tent of Base diameter 14m an

1.	A 5m wide cloth is used to make a conical tent of Base diameter 14m and height 24m find the cost of the cloth used at the rate of Rs 25per meter
Answer» $\large{\underline{\bf{\red{Given:-}}}}$ ✦ Radius (r) = 14/2 = 7m ✦ Height (h) = 24m $\large{\underline{\bf{\red{To\:Find:-}}}}$ ✦ COST of the cloth used at the RATE of Rs 25/m $\huge{\underline{\bf{\purple{Solution:-}}}}$ $\blue{ \bf\:slant \: height \: of \: tent \: (l) = \sqrt{ {r}^{2} + {h}^{2} } }\:\\$ $\mapsto \rm\: \sqrt{ {7}^{2} + {24}^{2} } \\ \\ \mapsto \rm\: \sqrt{49 + 576} \\ \\\mapsto \rm\: \sqrt{625} \\ \\\mapsto \bf\:25m \\\\ \:$ $\mapsto \blue{ \bf\:CSA \: of \: cone \: = \pi \: rl}\\\\$ $\mapsto \rm \frac{22}{7} \times 7 \times 25 \\ \\\mapsto \rm22 \times 25 \\ \\\mapsto \bf550 {m}^{2} \\ \\$ LET x meter cloth is required:- $\mapsto \rm \pink{\:CSA \: of \: tent=area \: of \: cloth} \\ \\ \mapsto \rm\:5x = 550 \\ \\ \mapsto \rm\:x = \frac{550}{5} \\ \\\mapsto \bf \pink{\:x = 110} \\$ So, 110 m cloth is required. $\mapsto \rm\:Cost \: of \: cloth=\:25 \times 110 \\ \\\mapsto \rm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2750 \\ \\ \mapsto \bf \green{\:Cost \: of \: cloth=2750}\\\\$ ━━━━━━━━━━━━━━━━━━━━━━━━━

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

Answer»

$\large{\underline{\bf{\red{Given:-}}}}$

✦ Radius (r) = 14/2 = 7m

✦ Height (h) = 24m

$\large{\underline{\bf{\red{To\:Find:-}}}}$

✦ COST of the cloth used at the RATE of Rs 25/m

$\huge{\underline{\bf{\purple{Solution:-}}}}$

$\blue{ \bf\:slant \: height \: of \: tent \: (l) = \sqrt{ {r}^{2} + {h}^{2} } }\:\\$

$\mapsto \rm\: \sqrt{ {7}^{2} + {24}^{2} } \\ \\ \mapsto \rm\: \sqrt{49 + 576} \\ \\\mapsto \rm\: \sqrt{625} \\ \\\mapsto \bf\:25m \\\\ \:$

$\mapsto \blue{ \bf\:CSA \: of \: cone \: = \pi \: rl}\\\\$

$\mapsto \rm \frac{22}{7} \times 7 \times 25 \\ \\\mapsto \rm22 \times 25 \\ \\\mapsto \bf550 {m}^{2} \\ \\$

LET x meter cloth is required:-

$\mapsto \rm \pink{\:CSA \: of \: tent=area \: of \: cloth} \\ \\ \mapsto \rm\:5x = 550 \\ \\ \mapsto \rm\:x = \frac{550}{5} \\ \\\mapsto \bf \pink{\:x = 110} \\$

So,

110 m cloth is required.

$\mapsto \rm\:Cost \: of \: cloth=\:25 \times 110 \\ \\\mapsto \rm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2750 \\ \\ \mapsto \bf \green{\:Cost \: of \: cloth=2750}\\\\$

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

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