**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**