A tent is in the form of a cylinder surmounted by a cone having its diameter of the base equal to 24 m. The height of cylinder is 11 m and the vertex of the cone is 5 m above the cylinder. Find the cost of making the tent, if the rate of canvas is Rs. 10 per m2.
Diametre of base of cylinder = diametre of cone = 24 m
∴ Radius of base = 12 m
Height of cylindedr = 11 m = h1
Height of Cone = 5 m = h2
Let slant height of cone be l
l=GD=√r2+h2=√122+52=13m
Area of canvas required = CSA of cylinder + CSA of cone
=2πrh1+πrl
=πr(2h1+l)
=227×12(2×11+13)m2
=22×127×35m2
=22×60m2
=1320m2
Rate of canvas = Rs. 10 per m2
∴ Cost of canvas = Rate × area of canvas
=Rs.10×1320
=Rs.13,200