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Maths-

General

Easy

Question

A dome of a building is in the form of a hemisphere. The total cost of white washing it from inside, was '1330.56. The rate at which it was white washed is '3 per square metre. Find the volume of the dome approximately

hint Hint:

Volume of hemisphere is $2 over 3 pi r cubed$ .

The correct answer is: 38492.55m3

Explanation:

We have given total cost of white washing the dome is 1330.56

We have to find the volume of dome.

We have given total cost of white washing the dome is 1330.56
And the rate of white washing is 3 per square meter
So, The surface area of the dome is
$equals fraction numerator 1330.56 over denominator 3 end fraction$
= 443.52m²
We know that white washing is only done on curved surface area
So,
$2 pi r squared equals 443.52 m squared$
$r squared equals 696.679$
$r equals 26.39 m$
Now the volume of dome will be
$V equals 2 over 3 pi r cubed$
$equals 2 over 3 pi left parenthesis 26.39 right parenthesis cubed$
$equals 38492.55 m cubed$

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