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 of 25 per metre
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Answer 1

Answer:

Solution:-

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

l² = 24² + 7²

l² = 576 + 49  

l² = 625

l = √625

l = 25 m

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

Now,  

Curved Surface Area of the cone = πrl

= 22/7*7*25

CSA = 550 sq m

Now, length of the cloth used = Area/ width of the cloth

= 550/5

Length of the cloth used = 110 m  

Cost of cloth = Rs. 25 per meter

Total cost of clothe used = 110*25

= Rs. 2750

Step-by-step explanation:

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Answer 2

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✪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 of 25 per metre

✪GIVEN✪:-

RECTANGULAR CLOTH :

• breadth = 5m

CONE :

• base circumference = 5m
• diameter (2r) = 14m
• radius (r) = 7m
• height (h) = 24m

• cost/metre = Rs.25

✪TO FIND✪:-

find the cost of length of the cloth used .

✪ANSWER✪:-

slant height (l) :-

➠l² = h² + r²

➠l² = (24)² + (7)²

➠l² = 576 + 49

➠l² = 625

➠l = √ 625

➠l = 25m

CSA of cone = $\pi \: r \: l$ sq .units

➠$\frac{22}{7}$× 7 × 25 m²

➠22 × 25 m²

➠550 m²

Area of the rectangular cloth= length × breadth

➠l × b = 550m²

➠l × 5 = 550m²

➠l = 550/5 = 110 m

➠cost of cloth used / m = Rs.25

➠cost of cloth used for 110m. = 25 × 110 = Rs.2750