Question

A hemispherical dome of a building needs to be painted . If circumference of the base of the dome of 44m find the cost of painting it given the cost of painting is rs.2 per 100cm square

Answer 1

Step-by-step explanation:

Circumference of dome = 44 m = 4400 cm

2πr = 4400 cm

r =

$\frac{4400 \times 7}{22 \times 2} = \frac{4400 \times 7| }{44} =$

Radius (r) = 700 cm

Surface area of hemispherical dome =

$2\pi {r}^{2}$

$= \frac{2 \times 22 \times 700 \times 700}{7}$

= 3080000 sq. cm

Cost of painting at the rate of Rs.2 per 100 sq.cm

=

$\frac{3080000 \times 2}{100}$

= Rs.61600