Question

A 5m wide cloth is used to make a tent of base diameter 14m and height 24m.Find the cost of the cloth used at the rate of RS.25/m

Answer 1

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

Answer

Answer 2

A 5m wide cloth is used to make a tent of base diameter 14m and height 24m.Find the cost of the cloth used at the rate of Rs.25/m.

Answer : Rs. 2750

Step by step explanation :

Let the length of cloth be L metres

As per your question,

Area of cloth =CSA of conical tent of radius 7 m and height 24 m

Slant height (L) = ?

We know that,

L^2 = h^2 + r^2

= 576 + 49

= 625

So, L = 25 m

Now,

Area of cloth = π r l

= (22/7) × 7 × 25

= 550 m^2

Thus, length × width = 550

We know that, Width = 5 m.

So, length = 550/5

= 110 m

Now,

Cost of 1 m cloth = Rs. 25

Cost of 110 m cloth = Rs. (110 × 25) = Rs. 2750

Hence, the Cost of the cloth used at the rate of Rs.25/m is Rs.2750.

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