Question

a water tank is cylindrical in shape and the diameter of its base is 28 m. if it is 7 metres deep, how many kilolitres of water can it hold ?​

Answer 1

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$\large{\underline{\sf{\red{Required\:Answer:}}}}$

$\large\boxed{\underline{{\sf 4312 \: kl}}}$

Given

The diameter of the base of the cylinder = 28 m.

Height = 7 m.

To Find :-

How many kilolitres of water can it hold.

Solution :-

Formula to find the volume of the cylinder :-

${\boxed{{\sf{V = \pi r ^{2}h }}}}$

$\orange{\implies\:\:}$ ${\sf{r = radius \: of \: cylinder}}$

$\orange{\implies\:\:}$ ${\sf{r = 14}}$

Putting all the values of the above formula we get:-

$\red{\implies\:\:}$ ${\sf{V = \dfrac{22}{7} \times {14}^{2} \times 7 }}$

$\red{\implies\:\:}$ ${\sf{ V = 4312 \: {m}^{3} }}$

Since,

$\pink{\implies\:\:}$ ${\sf{1 \: {m}^{3} = 1 \: kl}}$

So,

$\purple{\implies\:\:}$ ${\sf{4312 \: {m}^{3} = 4312 \: kl}}$

∴ So, the cylinder can hold 4312 kl of water.

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Answer 2

Answer:

just use the formula from the chp surface areas and volumes from ncert book and u will get the answer.

the correct answer will be 4312 kl