AM-1644

Surds and rationalising

A Math · Secondary 4 · Hard · Surds and rationalising

A right circular cylinder has radius

(2\sqrt{3}-\sqrt{2})\,\text{cm}

and volume

(18\sqrt{3}-9\sqrt{2})\pi\,\text{cm}^3

. Find the height of the cylinder in the form

\sqrt{a}-\sqrt{b}

, where

a

and

b

are integers.

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