A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)
A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7) Correct Answer 739.2
Given Data:
Height of the cylindrical part = 8 m
The slant height of the conical part = 12 m
Formula Used:
Total canvas needed = 120% of
The curved surface area of cylinder = 2πrh
The curved surface area of cone = πrl
Where, r = Radius of the base, h = Height of cylinder, l = Slant height of the cone
Calculation:
Total canvas needed = 120% of
⇒120% of
⇒120% ×
⇒ (120/100) ×
⇒ 739.2 m2
∴ 739.2 m2 canvas will be required to build the tent.
