A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

t is given that the state of the well is looking like a chamber with a width of 7 m

In this way, span = 7/2 m

Likewise, Depth (h) = 20 m

Volume of the earth uncovered will be equivalent to the volume of the chamber

    \[\therefore Volume\text{ }of\text{ }Cylinder\text{ }=\text{ }\pi \times r2\times h\]

    \[=\text{ }22\times 7\times 5\text{ }m3\]

Let the stature of the stage = H

Volume of soil from well (chamber) = Volume of soil used to make such stage

    \[\pi \times r2\times h\text{ }=\text{ }Area\text{ }of\text{ }stage\text{ }\times \text{ }Height\text{ }of\text{ }the\text{ }stage\]

We realize that the component of the stage is = 22×14

In this way, Area of stage

    \[=\text{ }22\times 14\text{ }m2\]

    \[\therefore \pi \times r2\times h\text{ }=\text{ }22\times 14\times H\]

    \[\Rightarrow H\text{ }=\text{ }2.5\text{ }m\]