Answer:
[tex]\boxed{\textsf{ The Volume of the Cylinder is \textbf{ 75.42 cm}$\sf^{ \textbf{ 2} } $.}}[/tex]
Step-by-step explanation:
Here a cylinder is given to us and we need to find the volume of the Cylinder . The height of the Cylinder is 6 units and its radius is 2 units . We know Volume of Cylinder as ,
[tex]\qquad\boxed{\boxed{\sf Volume_{(Cylinder)}= \pi r^2 h }}[/tex]
Figure :-
[tex]\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{2 }}\put(9,17.5){\sf{6.}}\end{picture}[/tex]
Now put on the respective values :-
[tex]\sf\implies Volume_{(Cylinder)}= \pi r^2 h \\\\\sf\implies Volume_{(Cylinder)}= \dfrac{22}{7}\times (2)^2 \times 6 \\\\\sf\implies Volume_{(Cylinder)}= \dfrac{22}{7} \times 4 \times 6 \\\\\sf\implies\boxed{\pink{\sf Volume_{(Cylinder)}= 75.42 \ unit^3 }}[/tex]
