Q. 85.0( 3 Votes )

The ratio between the radius of the base and the height of a cylinder is 2:3. If the volume of the cylinder is 12936 cm3. Find the radius of the base of the cylinder.

Answer :

Given,


Ratio of the base and the height of a cylinder is 2:3


So,


Let the radius of the base = r


And


The height of the cylinder = h


r : h = 2 : 3


That is,


r/h = 2/3


So,


h = 3r/2 – – – – – – – – – (i)


As,


Volume of the cylinder = 12936 cm3


πr2h=12936


22/7 × r2 × 3r/2=12936 [Using (i)]


33/7 × r3=12936


r3 = 12936 × 7/33


r3 = 2744


r = 3√2744


Therefore,


r = 14 cm


So,


The radius of the base of the cylinder is 14 cm.


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