Question

A 5n 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 rupees25 per metre

Answer 1

Answer:

\begin{gathered}radius = \frac{14}{2} = 7 \\ l = \sqrt{h {}^{2} + {r }^{2} } \\l = \sqrt{576 + 44} \\ l = \sqrt{625 } \\ l = 25 \\ area \: of \: clothes \: = \pi \: rl \\ \frac{22}{7} \times 7 \times 25 \\ 550 m {}^{2} \\ length \: of \: \: the \: clothes = \frac{550}{5} \\ = 110 \\ cost \: of \: clothes = 110 \times 25 \\ 2750\end{gathered}

radius=

2

14

=7

l=

h

2

+r

2

l=

576+44

l=

625

l=25

areaofclothes=πrl

7

22

×7×25

550m

2

lengthoftheclothes=

5

550

=110

costofclothes=110×25

2750