Question

A milk tank is in the form of cylinder whose radius is 1.5 m and
length is 7 m. Find the quantity of milk in litres that can be stored
in the tank?

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Answer 1

Step-by-step explanation:

Hope it helps.................

Answer 2

$\bf GivEn \begin{cases} & \sf{Radius\;of\;cylindrical\;milk\;tank,\;r = \bf{1.5\;cm}} \\ & \sf{Height\;of\;cylindrical\;milk\;tank,\;h = \bf{7\;cm}} \end{cases}$

Need to find: The quantity of milk in litres that can be stored in the tank.

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$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

Quantity of milk in that can be stored in tank = Volume of milk tank

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$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{Volume_{\;(cylinder)} = \pi r^2 h}}}}$

Here,

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• r = 1.5 cm
• h = 7 cm

$\setlength{\unitlength}{1.3mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(16,2)(0,32){2}{\sf{\footnotesize 1.5 cm}}\put(14,17.5){\sf{\footnotesize 7 cm}}{\qquad\qquad\qquad\qquad\qquad\:\:\:\:\boxed{ \bf @ValiantPrinceiss</p><p> }}\end{picture}$

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$\dag\;{\underline{\frak{Putting\;values\;in\;formula,}}}$

$:\implies\sf Volume_{\;(milk\;tank)} = \dfrac{22}{ \cancel{7}} \times 1.5 \times 1.5 \times \cancel{7}\\ \\ :\implies\sf Volume_{\;(milk\;tank)} = 22 \times 1.5 \times 1.5 \\ \\ \ :\implies{\underline{\boxed{\frak{\purple{Volume_{\;(milk\;tank)} = 49.5</p><p>\;cm^3 }}}}}\;\bigstar$

$\dag\;{\underline{\frak{Quantity\;of\;milk\;in\;Litre,}}}$

We know that,

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• 1 Litre = 1000 cm³

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$:\implies\sf Volume_{\;(milk\;tank)} = 49.5 \times 1000\;L$

$\therefore$ Quantity of milk in litres that can be stored in the tank is 49,500 L.

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