Question

.8. A dome of a building is in the form of a hemisphere. From inside, it wa
whitewashed at the cost of 3 498.96. If the cost of whitewashing is
2.00 /m2, find the
(a) inside surface area of the dome.
(b) volume of air inside the dome.​

Answer 1

Answer:

(a) 1749.48 m^2

(b) 194.9m^3

Step-by-step explanation:

cost = 3498.96

rate = 2.00/m^2

as,   cost = rate * area

we get, area = cost / rate = (3498.96)/2 = 1749.48 m^2

now as, area = 2*pi*r*r

r*r = (area)/(2*pi)

volume = (4/3)*pi*r*r*r

$v = (4/3) * \pi * \sqrt{(a/(2*\pi )^{3} }$

v = 4.2 * 464

v = 194.9m^3