Question

A 5 m wide cloth is used to make a conical tent of base diameter 14 m and height 24

m.Find the cost of cloth used at the rate 25 rupees /metre.​

Answer 1

Answer:

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Step-by-step explanation:

Let the slant height of the cone be 'l' meters.

height =24 m and diameter =14 m or radius =7 m.

Then according to the question.

l²=h²+r²

l

2

=24

2

+7

2

l

2

=576+49

l

2

=625

l=

625

m

l=25 m

So, the slant height of the cone is 25 m.

Now,

Curved Surface Area of the cone =πrl=

7

22

×7×25

CSA=550m

2

Now, length of the cloth used = Area/ width of the cloth$$= \dfrac{550}{5}$$

Length of the cloth used =110m

Cost of cloth =Rs.25/meter

Total cost of clothe used 25×110=Rs.2750

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