Question

a circus tent is cylindrical upto height of 3.3 m and conical above it if the diameter of the base is 100 m and slant height of the conical part is 56.4 m find the total canvas used in making the tent if the cost if canvas is rupees 8 per square metre find the total cost of canvas required in making the tent​

Answer 1

≡QUESTION≡

A circus tent is cylindrical up to height of 3.3 m and conical above it if the diameter of the base is 100 m and slant height of the conical part is 56.4 m find the total canvas used in making the tent, if the cost if canvas is rupees 8 per square meter, find the total cost of canvas required in making the tent​.

                                                         

║⊕ANSWER⊕║

GIVEN

The height of the cylindrical part of the tent, h = 3.3 m

The slant height of the conical part of the tent, l = 56.4 m

The diameter of the base of the tent, d = 100 m

So, the radius of the base of the tent, r = 100/2 = 50 m

Cylindrical Part:

CSA = 2πrh

       = πdh

       = 3.14 x 100 x 3.3

       = 1036.2 m²   ...(i)

Conical Part:

CSA = πrl

        = 3.14 x 50 x 56.4

        = 8854.8 m²   ...(ii)

(i) + (ii)

= 1036.2 m² + 8854.8 m²

= 9891 m²

Cost = 9891 x 8

       = Rs. 79,128/-

                                                     

Answer 2

Answer:

Total cloth used is 9891 m² and Total Cost is Rs 79128

Step-by-step explanation:

We Have :-

Height of cylinder = 3.3 m

Slant height = 56.4 m

Diameter = 100 m

Radius = 50 m

To Find :-

Total canvas used to made the tent  and the Total Cost of making it

Formula Used :-

CSA of cylinder = 2 π r h

CSA of cone = π r l

Solution :-

CSA of Cone = 3.14 * 50 * 56.4

= 8854.8 m²

CSA of Cylinder = 2 * 3.14 * 50 * 3.3

= 1036.2 cm²

Total cloth used = CSA of ( Cone + Cylinder )

= 8854.8 + 1036

= 9891 m²

Total Cost :-

1 m² = Rs 8

9891 m² = Rs 8 * 9891

= Rs 79128

Total cloth used is 9891 m² and Total Cost is Rs 79128