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 meter, find the

(i) inside surface area of the dome,

(ii) volume of the air inside the dome.

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Solution

(i) Cost of white-washing the dome from inside = Rs 498.96

Cost of white-washing 1 m² area = Rs 2

Therefore, CSA of the inner side of dome =

= 249.48 m²

(ii) Let the inner radius of the hemispherical dome be r.

CSA of inner side of dome = 249.48 m²

2πr² = 249.48 m²

⇒ r = 6.3 m

Volume of air inside the dome = Volume of hemispherical dome

= 523.908 m³

= 523.9 m³ (approximately)

Therefore, the volume of air inside the dome is 523.9 m³.

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Q. A dome of a building is in the form of a hemisphere. From inside, it was white-washed, at the cost of Rs.

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Q. 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 volume of the air inside the dome.

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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 498.96. If the cost of white-washing is Rs 2.00 per square meter, find the (i) inside surface area of the dome, (ii) volume of the air inside the dome.

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 meter, find the

(i) inside surface area of the dome,

(ii) volume of the air inside the dome.