# 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.

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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