Answer

Verified

331.8k+ views

Hint: Proceed the solution by using the condition that volume of earth is equal to volume of embankment. We know that volume of embankment $V = \pi ({R^2} - {r^2})h$ and volume of earth is $(v) = \pi {r^2}d$.

Here let us solve solution by gathering the data given to us, so here the

Diameter of well = $4m$

Radius of well $(r)$ = $2cm$ [Radius is half of the diameter]

Depth of earth $(d)$ = $21m$

We know that volume of earth as $(v) = \pi {r^2}d$

$ \Rightarrow v = \dfrac{{22}}{7} \times 2 \times 2 \times 21$

$ \Rightarrow v = 264{m^3}$

Given the width of embankment = $3m$

Outer radius of ring $(R)$ = $2 + 3 = 5m$

Let the height of embankment $h$

We know that volume of embankment $V = \pi ({R^2} - {r^2})h$

Here,

Volume of embankment = Volume of earth

$ \Rightarrow $$\

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

\\

\ $

On substituting the values we get

$\

\Rightarrow \dfrac{{22}}{7} \times (25 - 4) \times h = 264 \\

\Rightarrow h = \dfrac{{264 \times 7}}{{22 \times 21}} \\

\Rightarrow h = 4 m \\

\ $

Therefore the height of embankment =$4m$

NOTE: Outer ring radius has to be calculated by using the inner radius which is used in the volume of embankment to find height.

Here let us solve solution by gathering the data given to us, so here the

Diameter of well = $4m$

Radius of well $(r)$ = $2cm$ [Radius is half of the diameter]

Depth of earth $(d)$ = $21m$

We know that volume of earth as $(v) = \pi {r^2}d$

$ \Rightarrow v = \dfrac{{22}}{7} \times 2 \times 2 \times 21$

$ \Rightarrow v = 264{m^3}$

Given the width of embankment = $3m$

Outer radius of ring $(R)$ = $2 + 3 = 5m$

Let the height of embankment $h$

We know that volume of embankment $V = \pi ({R^2} - {r^2})h$

Here,

Volume of embankment = Volume of earth

$ \Rightarrow $$\

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

\\

\ $

On substituting the values we get

$\

\Rightarrow \dfrac{{22}}{7} \times (25 - 4) \times h = 264 \\

\Rightarrow h = \dfrac{{264 \times 7}}{{22 \times 21}} \\

\Rightarrow h = 4 m \\

\ $

Therefore the height of embankment =$4m$

NOTE: Outer ring radius has to be calculated by using the inner radius which is used in the volume of embankment to find height.

Recently Updated Pages

Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

The cell wall of prokaryotes are made up of a Cellulose class 9 biology CBSE

What organs are located on the left side of your body class 11 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE