Question

the milk man tank is th form of cylinderwhose radius is is 1.5m and length 7m. find the quantity of milk in liters that can be stored in tank​

Answer 1

${\underline{\underline{\bf{Given:}}}}$

• Dimensions of a milkman's tank which is in the form of cylinder: Length = 7 m and Radius = 1.5 m.

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The capacity of milk (in litres) that can be stored in the tank of above dimensions.

${\underline{\underline{\bf{Formula\:to\: be\: used:}}}}$

The formula that we use to find the volume of a cylinder should be used to find the answer, as it is given to find the capacity of milk that can be stored inside the milkman's tank.

$\underline{\boxed{\sf{{Volume}_{(Cylinder)}=\pi {r}^{2}h\:cu.units}}}$

${\underline{\underline{\bf{Solution:}}}}$

$\sf{Now,\:by\: substituting\:the\: given\: measures\:in\:the\:formula:}$

$\:\:\:\:\:\:\implies{\sf{\pi{r}^{2}h\:cu.units\:\:\:\:\:(\pi=\frac{22}{7})}}$

$\:\:\:\:\:\:\implies{\sf{\frac{22}{\cancel{7}}\times {(1.5)}^{2}\times \cancel{7}}}$

$\:\:\:\:\:\:\implies{\sf{22\times 1.5\times 1.5}}$

$\:\:\:\:\:\:\implies{\sf{22\times 2.25}}$

$\:\:\:\:\:\:\implies{\underline{\underline{\sf{49.5\:{m}^{3}}}}}$

In the question, it's given to find the quantity of milk $\underline{\sf{in\:litres}}$. So, we should convert $\underline{\sf{49.5\:{m}^{3}}}$ into litres.

$\sf{As\:we\:know,}$

${\boxed{\sf{1\:{m}^{3}=1,000\:litres}}}$

$\:\:\:\:\:\longrightarrow{\sf{49.5\:{m}^{3}=49.5\times 1,000}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\sf{=\red{\underline{49,500\:litres}}}$

${\underline{\underline{\bf{Final\:answer:}}}}$

• $\bf{49,500\:litres}$ of milk can be stored in the tank.

______________________________

${\underline{\underline{\bf{Related\:formulae:}}}}$

$\tt{Cylinder-}$

• $\sf{CSA=2 \pi rh\:sq.units}$
• $\sf{TSA=2 \pi r(h+r)\:sq.units}$

Answer 2

The Quantity of milk that can be stored in tank is $\textsf{49,500 liters }$

Given :

$\text{Radius of Cylindrical tank (r) = 1.5m }$

$\text{Length of the cylindrical tank (h) = 7m}$

To Find :

$\text{Volume of cylindrical tank}$

Formula Applied :

We have to find quantity of milk that can be stored in tank. the quantity of milk in the cylindrical can be obtained using volume formula of cylinder.

$\text{Volume of cylinder = } \pi r^2h\:\:\text{cu.units }$

Diagram :

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{1.5m}}\put(6,17.5){\sf{7m}}\put(40,0){@Seafairy}\end{picture}$

Solution :

We have to find quantity of milk that can be stored in tank. the quantity of milk in the cylindrical can be obtained using volume formula of cylinder.

$\boxed{\text{Volume of cylinder = } \pi r^2h\:\:\text{cu.units }}$

$\text{As by given we know r = 1.5m , h= 7m}$

$\implies \frac{22}{7}\times (1.5)^2\times 7 \:cm^3$

$\implies \frac{22}{7} \times 1.5 \times 1.5 \times 7 \: cm^3$

$\implies 22 \times 1.5 \times 1.5\:cm^3$

$\implies 22 \times 2.25\: cm^3$

$\text{Vloume of Cylinder = 49.5}\: cm^3$

As by Given question we have to find the quantity of milk in litres.

${\boxed{\text{{1 cu.units = 1000 litres}}}}$

$\implies 49.5 \: cm^3 = 49,500 \: \text{litres}$

Required Answer :

The quantity of milk that can be stored in tank is $\textbf{49,500 liters }$

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( Kindly Visit the answer in web (Brainly.in) for viewing the display of diagram of cylindrical tank )