Question

Please help me thank u sm

Answer 1

`\boxed{\textsf{ The Volume of the Cylinder is \textbf{ 75.42 cm}$\sf^{ \textbf{ 2} } $.}}`

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 ,

`\qquad\boxed{\boxed{\sf Volume_((Cylinder))= \pi r^2 h }}`

Figure :-

`\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}`

Now put on the respective values :-

`\sf\implies Volume_((Cylinder))= \pi r^2 h \\\\\sf\implies Volume_((Cylinder))= (22)/(7)* (2)^2 * 6 \\\\\sf\implies Volume_((Cylinder))= (22)/(7) * 4 * 6 \\\\\sf\implies\boxed{\pink{\sf Volume_((Cylinder))= 75.42 \ unit^3 }}`