Question

A well with 12m inside diameter is dug 21 m deep earth taken out it is spread all around to a width of 6m from an embankment . find the height of the embankment?

Answer 1

Given,

radius=6+6

= 12

diameter = 12cm

radius

$= \frac{12}{2} cm$

$= 6cm$

height of embankment

=> volume of Cylinder=volume of embankment

$2\pi rh =2\pi rh - 2\pi rh$

$2\pi rh =2\pi h(r - r)$

$2rh = 2h(r - r)$

$2 \times 6 \times 21 = 2 \times h \times (12 - 6)$

$2 \times 6 \times 21 = 2 \times 6 \times h$

$21 = h$

$h = 21$

Ans

Answer 2

The height of embankment is 5.25 m.

Step-by-step explanation:

Since we have given that

Diameter = 12 m

Radius = 6 m

Height = 21 m

And width of embankment = 6 m

So, Radius of embankment = 6+6 =12 m

So, we know that

Volume of well = Volume of embankment

$\pi (6)^2\times 21=pi (12)^2\times h\\\\\dfrac{36\times 21}{144}=h\\\\h=5.25\ m$

Hence, the height of embankment is 5.25 m.

# learn more:

. A well with 12 m inside diameter is dug 21 m deep.

Earth taken out of it is spread all around to a width

of 6 m to form an embankment. Find the height of

the embankment?​

https://brainly.in/question/13996429