Question

a tent is in the form of cylinder whise height is 5m surmounted by a cone of equal base.diameter of base is 105m the slant height of cone is 50m.find the cost of cloth at ruppes 15 per sq meters to make a tent

Answer 1

Given:

Cylinder

h = 5m

Cone

d = 105m

r = 105/2

l = 50m

r of cone = r of cylinder

To find : CSA of the tent + cost

CSA of tent = CSA of cylinfer + CSA of cone

Proof : CSA of cylinder =

$2\pi rh\\2* 22/7 * 105/2 * 5 \\= 22* 15 * 5\\= 22 *75\\= 1650m^{2}$

CSA of cone =

$\pi * r * l = 22/7 * 105/2 * 50\\= 11 * 15 * 50\\= 550 * 15\\= 8250m^{2} \\CSA  = 1650 + 8250 = 9900m^{2} \\cost = 15 * 9900 = 1,48,500 rupees$