Question

A bag of grains contains 2.8m3 of grain. how many bags are needed to fill a drum of radius 4.2 m and height 5m ?

Process please

Answer 1

$\purple{\underline{\underline{ \huge \mathfrak \pink{Answer:-}}}}</strong></p><p>\\\\\\</p><p><strong> \green{\underline{\underline \mathtt\red {Given:-}}}$

Radius of the drum = 4.2 m

Height of the drum = 5m

$\blue{\underline{\underline \mathtt\orange { To \: find :-}}}$

The number of the bags required to fill the drum.

$\mathtt{volume \: of \: the \: drum \: = \frac{22}{7} \times {4.2}^{2} \times {5}m^{3} }$

$: \implies \mathtt{ \frac{22}{7} \times 4.2 \times 4.2 \times {5m}^{3} }$

$: \implies \mathtt{22 \times 0.6 \times 4.2 \times 5m ^{3} }$

Volume of the grain in one bag =2.8m³

$\therefore \mathtt{ number \: of \: the \: bag \: required \: to \: be \: fill \: in \: drum}$

$= \mathtt{ \frac {22 \times 6 \times 4.2 \times 5}{2.8 \times 10} }$

${ \fbox{\boxed{= 99}}}$

$\mathtt{\therefore \: 99 \: bags \: are \: required \: to \: fill \: a \: drum}$