AM-1526

Surds and rationalising

A Math · Secondary 4 · Hard · Surds and rationalising

A right circular cylinder has radius

(\sqrt{7}-\sqrt{3})\,\text{m}

and volume

(16\sqrt{7}-8\sqrt{3})\pi\,\text{m}^3

.
Using

V = \pi r^2 h

, find the height

h

in exact surd form, in metres.

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