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.
Diameter= 24 m
r =24/2= 12
Height of cylinder, H =1cm
Height of cone, h = 16-11= 5 m
Slant height (l) =
= = 13 m
Surface area of tent = curved surface area of cylinder + curved surface area of cone
= 2rH + πrl
= 2 × (22/7) × 12 × 11 + (22/7) × 12 × 13
= (22/7) × 12 (22 +13)
= (22/7) × 12 × 35
= 1320 m2