Question

Earth is dug out in a cylindrical shape from a
plot of land. The dug out earth is 30 m deep and
7 m in diameter. This earth is spread out on an
adjacent plot of land, in the shape of a rectangle
which is of length 33 m and breadth 14 m.
To what extent will the height of the earth rise
on the rectangular plot?​

Answer 1

Answer:

Diameter of the well = 7 m

Radius of the well = 7/2 m

Depth of the well = 20 m

Volume of the mud dug from the well = πr2h

= 22/7 × 7/2 × 7/2 × 20

= 770 m3

Area of the rectangular plot where the mud is spread = 22 x 14

Let the height of the plotfarm be h metres.

Volume of the plot form = Volume of the mud taken from the well

22 x 14 x h = 770

h = 770 / 22x14

h = 2.5 m

Step-by-step explanation:

Diameter of the well = 7 m

Radius of the well = 7/2 m

Depth of the well = 20 m

Volume of the mud dug from the well = πr2h

= 22/7 × 7/2 × 7/2 × 20

= 770 m3

Area of the rectangular plot where the mud is spread = 22 x 14

Let the height of the plotfarm be h metres.

Volume of the plot form = Volume of the mud taken from the well

22 x 14 x h = 770

h = 770 / 22x14

h = 2.5 m