The tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of cylindrical part are 9 m and 30 m respectively and height of conical part is 8 m with same diameter as that of the cylindrical part, then find

(1) the area of the canvas used in making the tent;

(2) the cost of the canvas bought for the tent at the rate 200 per sq m. if 30 sq m canvas was wasted during stitching.

1 answer

(1) Assuming that the tent has no floor, then the area is just the lateral area of the cylinder, plus that of the cone.
A = 2πrh + 1/3 πr^2 h = 2π*15*9 + 1/3 π * 15^2 * 8 = 870π

(2) 200(870π + 30)