a tent is in the shape of a right circular cylinder upto a height of 3m and the conical above it. the total height of the tent is 13.5m and the radius of base is 14m. find the cost of cloth required to make the tent at the rate of rs.80per sq.m.<
The tent has a total height of 13.5 m out of which 3 m is the cylindrical height.
So height of the conical part is 10.5 m.
So to find the cost of cloth required, we need to find the curved surface area of the tent and multiply it with the rate for per sq m.
The required C.S.A.
=C.S .A of the cone + C.S.A. of the cylinde.
To find the C.S. A. of the cone we need the slant height
Let r= radius of the base of the cone as well as the cylinder( they have same radii)=14 m
Find this are and multiply it by 80 to find the total cost.
Let the radii of the circular parts be
slant height =l=10
total surface area (excluding the upper end)