Question

ANY GENIUS HERE??
plz solve it

A well with internal diameter of 12m is dug.It ïs 15m deep.The earth taken out of it is spread all around it to a width of 3m to form an embankment.Find the height of embankment....

plz...solve it....its a request...plzzzzzzzzzz

Answer 1

$\textsf{Hey !!..}$

The answer goes here....

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》To find -

Height of embankment.

》Given -

Internal radius, $r$ = $6\:m$

Height, $h$ = $15\:m$

Width, $w$ = $3\:m$

》Solution -

The internal radius given is 6 m. So the external radius will be equal to the sum of the internal radius and the width.

i.e.,

External radius, $R$ = $6+3=9\:m$

Now, let us assume that the height of the embankment is $H$.

So, the volume of the well will be equal to volume of embankment.

⇒ $\pi{r}^{2}h$ = $\pi (R^{2}-r^{2})h$

⇒ $\frac{22}{7}\times {6}^{2}\times 15$ = $\frac{22}{7}\times (9^{2}-6^{2})\times 15$

⇒ $36\times 15$ = $45\times H$

⇒ $H$ = $12$

So, the height of the embankment is 12 m.

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$\textsf{Thanks !!..}$

Answer 2

❤️Here's the answer :) !❤️

Q.) A well with internal diameter of 12m is dug. It ïs 15m deep. The earth taken out of it is spread all around it to a width of 3m to form an embankment. Find the height of embankment.

Step-by-step explanation :-

Given :-

Radius of the well => 6 metres ( 12/2 )

Height => 15 metres

Solution :-

Now,

Let's find the volume of the earth taken out of the well

$\sf{ = \pi \: r {}^{2} h}$

$\sf{ = \frac{22}{7} \times 6 {}^{2} \times 15}$

$\sf{ = \frac{22}{7} \times 36 \times 15}$

$\sf{ = \frac{11880}{7}}$

$\sf{ = 1697.14} \: m {}^{3}$

Now,

The outer width ( radius ) of the embankment

= ( r1 ) = ( 6 + 3 ) = 9 metres

Hence,

Area of the embankment = Outer area - Interior area

$\sf{ \ = ( \pi \: r1 ) {}^{2} -( \pi \: r) {}^{2} }$

$\sf{ = \frac{22}{7} \times (9 {}^{2} - 6 {}^{2})}$

$\sf{ = \frac{22}{7} \times (81 - 36)}$

$\sf{ = \frac{22}{7} \times 45}$

$\sf{ = \frac{990}{7}}$

$\sf{ = 141.42} \: m {}^{2}$
Hence,

Area of the embankment is 141.42 metre sq.

Now,

As per your question ,

We have to find the Height of the embankment

Hence,

Height of the embankment = $\sf{ = \frac{Volume}{Area} }$

$\sf{ = \frac{1697.14}{141.42} }$

$\sf{ = 12 \: metre}$


Hence,

Height of the embankment is 12 metre.

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Thank you !