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Answer:
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Answer:
Solution:
(i) Cost of white-washing the dome from inside = Rs 4989.60
Cost of white-washing 1m2 area = Rs 20
CSA of the inner side of dome = 498.96/2 m^2 = 249.48 m^2
(ii) Let the inner radius of the hemispherical dome be r.
CSA of inner side of dome = 249.48 m^2 (from (i))
Formula to find CSA of a hemi sphere = 2πr^2
2πr2 = 249.48
2×(22/7)×r2 = 249.48
r^2 = (249.48×7)/(2×22)
r^2 = 39.69
r = 6.3
So, radius is 6.3 m
Volume of air inside the dome = Volume of hemispherical dome
Using formula, volume of the hemisphere = 2/3 πr^3
= (2/3)×(22/7)×6.3×6.3×6.3
= 523.908
= 523.9(approx.)
Answer: Volume of air inside the dome is 523.9 m^3.
Step-by-step explanation:
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