Question

A well with 14m inner diameter is 8m deep.the earth dug of it has been evenly spread out on rectangular plot of size 10m*8m.find height of earth on plot....
Please answer it guys

Answer 1

Answer:

15.4 m

Step-by-step explanation:

Basically the logic we use in any volume conversion problem is that total volume of first figure is equal to total volume of second figure.

So here, volume of earth dug out from well = volume of rectangular plot

let h be height of the plot

Diameter of well = 14 m

Thus radius R = d/2 = 7 m

Depth(height) of well H = 8m

Dimensions of plot =10m x 8m

By condition said above,

π R²H = lbh

or 22/7 (7)² (8) = 10 x 8 x h

or h = (22 x 7 )/(10)

or h = 15.4 m

Thus, height of plot is 15.4 m