Question

A milk tank is in the form of a cylinder whose radius is 1.5 m and height is 10.5 m .Find the quantity of milk in litres that can be stored in the tank .

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Answer 1

Let's understand the concept:-

Here milk tank is a Cylinder So for finding the quantity of milk we need to find the volume of The cylinder.

Let's solve

Given:-

Height=h=10.5m

Radius=r=1.5m

To find:-

Volume=v

Solution:-

As we know that in a Cylinder

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

• Substitute the values

${:}\longmapsto$$\sf Volume={\dfrac {22}{{\cancel{7}}}}\times(1.5)^2\times{\cancel{10.5}}$

${:}\longmapsto$$\sf V=22\times2.25\times1.5$

${:}\longmapsto$$\sf V={\dfrac {22\times {\bcancel {225}}\times15}{{\bcancel{1000}}}}$

${:}\longmapsto$$\sf V={\dfrac {22\times9\times15}{40}}$

${:}\longmapsto$$\sf V={\dfrac {2970}{40}}$

${:}\longmapsto$$\sf V=74.25m^3$

As we know that

${\boxed{\sf {1m^3=1000litres}}}$

${:}\longmapsto$$\sf 74.25 m^3=74.25\times1000$

${:}\longmapsto$$\sf74250litres$

$\therefore$$\sf Total \:Quantity \:of \:74250litres\:milk\:can\;be \\ \sf stored\:in\:the\:tank.$