Question

$\huge\bold\red{Question:-}$

Milk powder comes in a cylindrical container whose base has a diameter of 14cm and height of 20 cm find its volume.
​

Answer 1

Volume of cylinder  = $\bf 3080cm^3$

${\large{\underline{\underline{\textbf{Given :}}}}}$

$\text{diameter}=\text{14 cm}$

$\text{height}(h) = \text{20 cm}$

${\large{\underline{\underline{\textbf{To Find :}}}}}$

$\text{Volume of cylinder}$

${\large{\underline{\underline{\textbf{Formula Applied :}}}}}$

$\text{Volume of cylinder} = \pi r^{2} h$

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{7cm}}\put(9,17.5){\sf{20cm}}\end{picture}$

${\large{\underline{\underline{\textbf{Solution :}}}}}$

To find volume we need to know radius of cylinder.

$\text{radius} = \frac{\text{diameter}}{2} \implies \frac{14}{2}$

$\text{radius (r)} = 7cm$

$\text{Volume } = \pi r^{2} h \implies \frac{22}{7} \times 7 \times 7\times 20$

$\text{Volume}= 22 \times 7 \times 20$

$\text{Volume} = 140 \times 22$

$\text{Volume} = 3080\:cm^3$

Answer 2

$Volume of cylinder  = \bf 3080cm^33080cm3</p><p></p><p>{\large{\underline{\underline{\textbf{Given :}}}}}Given :</p><p></p><p>\text{diameter}=\text{14 cm}diameter=14 cm</p><p></p><p>\text{height}(h) = \text{20 cm}height(h)=20 cm</p><p></p><p>{\large{\underline{\underline{\textbf{To Find :}}}}}To Find :</p><p></p><p>\text{Volume of cylinder}Volume of cylinder</p><p></p><p>{\large{\underline{\underline{\textbf{Formula Applied :}}}}}Formula Applied :</p><p></p><p>\text{Volume of cylinder} = \pi r^{2} hVolume of cylinder=πr2h</p><p></p><p>\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{7cm}}\put(9,17.5){\sf{20cm}}\end{picture}</p><p></p><p>{\large{\underline{\underline{\textbf{Solution :}}}}}Solution :</p><p></p><p>To find volume we need to know radius of cylinder.</p><p></p><p>\text{radius} = \frac{\text{diameter}}{2} \implies \frac{14}{2}radius=2diameter⟹214</p><p></p><p>\text{radius (r)} = 7cmradius (r)=7cm</p><p></p><p>\text{Volume } = \pi r^{2} h \implies \frac{22}{7} \times 7 \times 7\times 20Volume =πr2h⟹722×7×7×20</p><p></p><p>\text{Volume}= 22 \times 7 \times 20Volume=22×7×20</p><p></p><p>\text{Volume} = 140 \times 22Volume=140×22</p><p></p><p>\text{Volume} = 3080\:cm^3Volume=3080cm3</p><p></p><p>$