A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. Find the area of canvas required for the tent.

Explanation

Area of canvas required=>curved surface area of cone+curved surface area of cylinder

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

`l=sqrt(r^2+h^2)`=>`sqrt(12^2+5^2)=13m`

C.S.A of cone=>`22/7xx13xx12=490.28(m)^2`

C.S.A of cylinder=`2pirh=2xx22/7xx12xx11=829.7(m)^2`

total amount of canvas required=>`1320(m)^2`approximately.