Question

A cone has base radius 2.5cm and slant height 6cm . Find its vertical height

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Answer 1

Answer:

5.45 cm is the height .

Step-by-step explanation:

$l = \sqrt{ {r}^{2} + {h}^{2} } \\ h = \sqrt{ {l}^{2} - {r}^{2} } \\ h = \sqrt{ {6}^{2} - {2.5}^{2} } \\ h = \sqrt{36 - 6.25} \\ h = \sqrt{29.75} \\ h = 5.45$