Mensuration Practice Test 5

Question : 11 of 40

Marks: +1, -0

Find the area of the base of a newly constructed circular well that is 1,500 m deep and its volume is 57,750,000L.

Solution:

1 L = 1,000

cm^3

57,750,000 L = 57,750,000 × 1,000

cm^3

cm^3

1/{1000000} m^3

So, Volume =

{57750000×1000}/{1000000} m^3

57750 m^3

Volume =

πr^2h

57750 =

{22}/7 × r^2 × 1500

r^2

57750 × 7/{22} × 1/{1500}

r =

√{12.25}

r = 3.5 m
Area of the base =

πr^2

{22}/7×3.5 × 3.5

38.5 m^2

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