Question

A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of 1,232. If the cost of white washing is 4.00 per square meter, find the (i) Inside surface area of the dome, (ii) Radius of the dome.

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given: Cost of white washing at the rate of 4Rs./m²=1232.Rs

(ii).Inside surface area of the dome=Curved Surface area of hemisphere.

=>2πr².m².

1m²=4.Rs.

2πr² m²=?

=> 1232=4×2πr²

=> 1232=8×22/7×r²

=> 1232=176/7×r²

=> 1232×7/176=r²

=> 8624/176=r²

=> 49=r²

=> √49=r

=> r=7m.

(I).CSA of hemispheres=2πr².

=>2×22/7×7×7

=>44×7

CSA=308m².