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so guys question for you. let's go. The volume of cylinder is 924m³ and it's curved surface area is 264m². find its radius and height.​

Answer»

SOLUTION -

Volume of cylinder is 924m³ .

CSA of the cylinder is 264 m² .

\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{r}}\put(9,17.5){\sf{h}}\end{picture}

SUPPOSE that the radius of the cylinder is r and the height is h.

πr^2h = 924

2πrh = 264

DIVIDING these two ratios , we GET :

r/2 = 7/2

So, r = 7m .

Now , 2πrh = 264

So, 44h = 264

Hence, h = 6m .

Answer - The radius and height of the cylinder are 7m and 6m respectively.


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