A dome of a building is in the form of a hemisphere. From inside, it was white washed at the cost of Rs. 498.96 . If the cost of white washing is Rs. 2.00 per square metre, find the inside surface area of the dome.
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Step-by-step explanation:
Let, r m be the inner radius of the hemispherical dome. Then
(i) Inside surface area of the hemispherical dome = Total cost/Cost per square metre
= 498.96/2 m2 = 249.48 m2
Now, 2πr2 = 249.48
⇒ r2 = 249.48 x 7/2 x 22 = 39.69 ⇒ r = root under(√39.69) = 6.3 m
(ii) Volume of the air inside the dome
= Volume of the hemispherical dome
= 2/3πr3 = 2/3 x 22/7 x (6.3)3 m3 = 523.908 m3
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