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
(i) inside surface area of the dome, (ii) volume of the air inside the dome.
Solution (i)
Cost of white washing 1
= Rs 2
Total cost of white washing = Rs 498.96
According to the given condition, we have
Inner surface Area of the dome
Cost of white washing 1
= Total cost
Inner surface area of the dome = (Total cost)/(cost of white washing 1
)
Solution (ii)
Let inner radius of the hemispherical dome
We have, Inner surface area
m
Volume of air inside the hemispherical dome
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