Question

A circular pool has a radius of 3 m and a height of 1.5m. The pool is filled with water up to 4/5 of its total capacity. Calculate the number of liters of water in the pool.

Answer 1

$\huge \sf \color{lightblue} {\bigstar \: Answer \: \bigstar}$

$\sf \: Volume = πr²h$

$\sf \: Therefore, \\ \sf \: volume \: of \: the \: pool \: is$

$\sf = \pi \times 1.5m \times 1.5m \times 3m$

$\sf \: = 3.14 \times 6.75 \: (here \: \pi = 3.14)$

$\sf = 21.195m ^{3}$

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$\sf \: Given \: that \: 4/5th \: of \: the \: pool \: \\ \sf is \: filled \: with \: water$

$\sf \: Therefore$

$\frac{4}{5} \times 21.195 {m}^{3} \\ = 16.956 {m}^{3}$

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$\sf \: Number \: of \: liters \: of \: water$

$\sf = 1000 \times 16.956 \\ \sf = 16956 \: litres$

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