Question

The lateral area of a cone is 198.6 cm2. The diameter of the cone is 10.2 cm. Determine the height of the cone to the nearest tenth of a centimetre.

Answer 1

$h= \frac{\sqrt{( \frac{A_{L} }{r})^{2} - ( \pi r)^{2}}}{ \pi } = \frac{\sqrt{( \frac{198.6 }{5.1})^{2} - ( \pi 5.1)^{2}}}{ \pi } = ~11.3cm$