Question

A tent is in the shape of a right circular cylinder surmounted by a right circular cone, the height of the cylinder and the conical part are 40 m and 21 m respectively. if the base diameter of the tent is 56 m(r=28m)find the area of required canvas to make this that, if 20% of the area of canvas is consumed ki folding and sewing. ANS:-12650m².

Answer 1

Answer:

Diameter =28 m

Radius =

2

28

=14 m (=r)

Height h=3 m

Curved Surface area of Cylinder =2πrh square unit

=2×

7

22

×14×3

=264m

2

Cone:

radius =14 m; h=10.5 m

Slant height l=

h

2

+r

2

=

(10.5)

2

+14

2

=

306.25

=17.5 m

Curved surface area of cone =πrl square unit

=

7

22

×14×17.5

=770m

2

Total surface area of the tent =264+770=1034m

2

.