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 Rs 25 per metre. [Use $(\pi=\frac{22}{7})$]

Answer 1

Answer:

The Total cost of cloth used is ₹ 2750.

Step-by-step explanation:

Given :  

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

Height of a conical tent , h = 24 m

Diameter of a conical tent = 14 m

Radius  of a conical tent , r = 14/2 = 7 m

Slant height of a cone , l²  = h² + r²

l² = 24² + 7²

l² = 576 + 49  

l² = 625

l = √625

l = 25 m

slant height of the cone is 25 m.

Curved Surface Area of the conical tent = πrl

= 22/7 × 7 × 25 = 22 × 25  

Curved Surface Area of the conical tent = 550 m²

Curved Surface Area of the conical tent is equal to the area of the cloth

Curved Surface Area of the conical tent = Area of cloth  

550 m² = Length × breadth  

550 = Length × 5        

[Given : breadth = 5 m]

Length = 550/5 = 110 m  

Length of the cloth used = 110 m  

Cost of cloth =  ₹ 25 per meter

Total cost of cloth used = 110 × 25  = ₹ 2750  

Hence , the Total cost of cloth used is ₹ 2750

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Hello:)

The answer:2750

#LegioSeptimaClavdia