One spherical concrete reservoir has its outer diameter equal to 4.6 m and the thickness
of its wall is 20 cm. Find the capacity of the reservoir in litres.
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Given,
The outer diameter of the spherical reservoir(D)=4.6m
The outer radius of the reservoir (R) = D/2
= 4.6/2 m
= 2.3 m
The thickness of the wall is (t) = 20 cm = 0.2m
Then the inner radius of the spherical reservoir will be calculated as -
r = R - t
= 2.3 - 0.2 m
= 2.1 m
Then the capacity of the reservoir will be equal to it's volume and given as
Capacity = 4/3 π r^3
= 4/3 × 22/7 × (2.1)^3
= 4/3 × 22/7 × 21/10 × 21/10 × 21/10
= 38808 /1000
= 38.808 m^3
Therefore, Capacity of the reservoir = 38.808 × 1000 = 38808
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