A well 12 m deep with a diameter 3.5 m is dug up and earth from it is evenly spread to from a platform 10.5 m long and 8.8 m wide. Find the height of the platform?
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volume of the material dig from well and volume of platform must be equal ..
well is in cylindrical shape , while platform must be in form of cuboid
so , volume of well = volume of platform
πr^2h = lbh
π × 1.75^2 × 12 = 10.5 × 8.8 × h
h = π × 1.75^2 × 12 / 10.5 × 8.8
h = 22 × 1.75 × 1.75 × 12 / 10.5 × 8.8 × 7
h = 1.25 m
well is in cylindrical shape , while platform must be in form of cuboid
so , volume of well = volume of platform
πr^2h = lbh
π × 1.75^2 × 12 = 10.5 × 8.8 × h
h = π × 1.75^2 × 12 / 10.5 × 8.8
h = 22 × 1.75 × 1.75 × 12 / 10.5 × 8.8 × 7
h = 1.25 m
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A well 12 m deep with a diameter 3.5 m is dug up and earth from it is evenly spread to from a platform 10.5 m long and 8.8 m wide. Find the height of the platform?
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