Question

a well of diameter 3m is dug 14 m deep. the earth taken out​

Answer 1

Answer:

99 m³

Step-by-step explanation:

Question:a well of diameter 3m is dug 14 m deep. the earth taken out

Formula used= Vol. of cyliner=πr²h

The earth taken out= Vol. of cylinder

=π×3/2×3/2×14

=22×3×3×14/7×2×2

=11×3×3

=99 m³

Answer 2

Answer

0.5235 m.

Step-by-step explanation:

Diameter of well = 3 m

Radius of well = Diameter/2 = 3/2 =1.5 m

Depth of well = 21 m

Well is in the shape of cylinder

Volume of well = \pi r^{2} hπr

2

h

= 3.14 \times 1.5 ^{2} \times 21=3.14×1.5

2

×21

= 148.365 m^3=148.365m

3

Radius of embankment = Radius of well + width

= 1.5 + 8

= 9.5 m

Since , Embankment is in the shape of cylinder .

So, volume of embankment = \pi r^{2} hπr

2

h

= 3.14 \times 9.5^{2} \times h=3.14×9.5

2

×h

= 283.385h=283.385h

Since the earth is taken out from the well is used to make embankment .

So, volume will be equal.

\Rightarrow 148.365 =283.385h⇒148.365=283.385h

\Rightarrow \frac{148.365}{283.385}=h⇒

283.385

148.365

=h

\Rightarrow 0.5235=h⇒0.5235=h

Hence the height of the embankment is 0.5235 m.