Question

How many litres of water will be contained in hemispherical bowl whose radius is 2 metres? (1 litre = 1000 cu. cm)

Answer 1

Given that, the radius of a hemispherical bowl is $2m$.

To find out: The amount of water, in litres, that the bowl can contain.

We know that, volume of a hemisphere $=\frac{2}{3}\pi r^3$

$=\frac{2}{3}\times \frac{22}{7}\times 2\times 2\times 2[\because \pi =\frac{22}{7}]$

$=\frac{352}{21}$

$=16.7619m^3$

Now, we know that $1m=100cm$

$\therefore 1m^3=(100{)}^{3}c{m}^3$

Hence, $16.7619m^3=16.7619\times (100{)}^{3}c{m}^3$

$=16.7619\times 1000000c{m}^3$

$=16761900c{m}^3$

Given that, $1000c{m}^3=1litre$

$\therefore 16761900c{m}^3=\frac{16761900}{1000}litres$

$=16761.9litres$

Hence, the hemispherical bowl of radius $2m$ can contain $16761.9litres$ of water.