Question

A well with 10 m inside diameter is dug 14 m deep. Earth taken out of it is spread all around to a width of 5 m to form an embankment. Find its hight?

Answer 1

Hey mate ^_^

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Answer:
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Given:-

Diameter of the well = $10m$

Radius of the well

$= \frac{d}{2}$

$= \frac{10}{2}$

$= 5m$

Depth of the well = $14m$

Volume of earth dug out

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

$= \pi \times {5}^{2} \times {14m}^{3}$

$= 350\pi {m}^{3}$

Let the height of embankment be H m.

Now volume of embankment = $350\pi {m}^{3}$

Now,

π (r + 5)^2 H – π r^2H = 350 π

H [ (5 + 5)^2 – 5^2 ] = 350

H (100 – 25)  = 350

H = $\frac{350}{75}$

$= \frac{14}{3}$

$= 4.66$

Hence,

The height of the embankment is 4.66 m.

#Be Brainly❤️

Answer 2

HOPE it HELPS U ✌️✌️✌️