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# A dome of a building is in the form of a hemisphere. From inside it was white washed at the cost of RS 4989.60. If the cost of white washing is Rs 20 per square metre , find the i) inside surface area of the dome ii) Volume of the air inside the dome

Hint:

### Volume of hemisphere is

## The correct answer is: 179.67cm3

### Explanation:

- We have given a dome of a building is in the form of a hemisphere. From inside it was white washed at the cost of . If the cost of white washing is per square metre.
- We have to find the (i) Inside surface area of dome. (ii) Volume of the air inside the dome

Step 1 of 1:

It is given that the total cost of white washing is Rs 4989.60.

The cost of white washing per unit square meter is Rs 20.

So,

Total inside surface area will be

=

=

= 246.48m^{2}

Step 2 of 2:

Now inside surface area is 246.48m^{2}

r^{2} = 39.22

r = 6.26

So, The volume will be

= 82.07

Hence, The inside surface area is 246.48m^{2} and the inside volume is 82.07m^{3}

^{2}

Step 2 of 2:

Now inside surface area is 246.48m

^{2}

^{2}= 39.22

So, The volume will be

Hence, The inside surface area is 246.48m

^{2}and the inside volume is 82.07m

^{3}

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