Question

a circular tent is cylindeical up to high of 3m and conical above it the diameter of base is 105m and slant hight of the conical part is 53m then the total convas used in making the tent is

Answer 1

The amount of canvas used to make the tent = Curved surface area of cylindrical part + Curved surface area if the conical part.

Curved Surface Area of a Cylinder of Radius "R" and height "h" =2πRh

Radius of the cylindrical part =

2

Diameter

=

2

105

m

Curved surface area of a cone =πrl where r is the radius of the cone and l is the slant height.

Radius of the conical part =

2

Diameter

=

2

105

Hence, area of canvas = 2πrh+πrl

=2×

7

22

×

2

105

×3+

7

22

×

2

105

×53=9735m

2

Cost of canvas at Rs10 per sq m =9735×10=Rs. 97350