Question 262993
A Hemispherical Dome,open at base,is made from a sheet of fibre.
if the radius of hemispherical dome is 40cm and 13/170 of the fibre sheet actually used was wasted in making the dome.
Find the cost of the dome at the rate of Rs.35 per cm square
(take π =3.14)

Surface area of hemisphere = 2pi*r^2 r = radius

2*3.14*40*40 = 10048 cm square

Let the area of fibre sheet be x

10058+13/170 *x = x

1708160 +13x= 170x

1708160= 157x

= 10880 sq. cm

Rs.35/sq. cm = cost of fibre sheet.

10880 *35=  Rs.380,800