AM-1640

Surds and rationalising

A Math · Secondary 4 · Medium · Surds and rationalising

A right circular cylinder has radius

(\sqrt{7}-\sqrt{2})\,\text{m}

and volume

(15\sqrt{7}-10\sqrt{2})\pi\,\text{m}^3

. Find its height in metres, leaving your answer in the form

\sqrt{a}-\sqrt{b}

, where

a

and

b

are integers.

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