Question

A well 20m deep and 7m in diameter is full of the water. Calculate the work done in pumping the whole of water up to ground level

Answer 1

Explanation:

GIVEN:-

HEIGHT = 20m

DIAMETER = 7m

RADIUS = 7/2

VOLUME OF CYLINDER = πr^2h

=> 22/7 * (7/2)^2 * 20

=> 22/7 * 49/4 * 20

=> 770/2

=> 385m^3

=> 385000 litres

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Answer 2

The work done of water is $7.5\times10^{7}\ J$

Explanation:

Given that,

Depth = 20 m

Diameter = 7 m

We need to calculate the volume of water

Using formula of volume

$V=\pi\times r^2\times h$

Put the value into the formula

$V=\pi\times(\dfrac{7}{2})^2\times20$

$V=769.69\ m^3$

The average depth of the well is 10 m.

We need to calculate the work done

Using formula of work done

$W=F\times d$

$W=m\times g\times d$

$W=V\times\rho\times g\times d$

Put the value into the formula

$W=769.69\times1000\times9.8\times10$

$W=7.5\times10^{7}\ J$

Hence, The work done of water is $7.5\times10^{7}\ J$

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Topic : Work done

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