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