Question

A well 3.5 m in diameter and 20 m deep is dug in a rectangular field 20 m x 14 m. The earth
taken out is spread evenly on the field. Find the level of the earth raised in the field.​

Answer 1

$\sf{\huge{\underline{\blue{Given :-}}}}$

• A well 3.5 m in diameter and 20 m deep.

• A rectangular field of diension 20 m x 14 m.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The level of the earth raised in the field.

$\sf{\huge{\underline{\purple{Solution :-}}}}$

We have,

• Diameter = 3.5

• Radius = 1.75

• Hieght = 20 m

Volume of earth taken out from well = volume of cylinder

➝ π r² h

➝ 3.14 × 1.75 × 1.75 × 20

➝ 5.495 × 1.75 × 20

➝ 9.62× 20

➝ 192.33 cm³

The area of field is 20 m x 14 m

➝ 280m²

The level of the earth raised in the field =

Volume of earth = 280 × h

➝ 192.33 = 280 × h

➝ $\cancel{\dfrac{192.33}{280}}$ = h

➝ 0.687m

The level of the earth raised in the field is 0.687 m.

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