Question

A right circular cone of height 12 cm has its base radius of 5 cm. Find the lateral height of the
cone​

Answer 1

Step-by-step explanation:

$given \: that \: \\ base \: of \: radius = 5cm \\ height \: of \: the \: cone \: = 12cm \\ then \: according \: to \: question \\ lateral \: height \: of \: the \: cone \: l = \sqrt{h {}^{2} +r {}^{2} } \\ l = \sqrt{12 {}^{2} + 5 {}^{2} } \\ l = \sqrt{144 + 25} \\ l = \sqrt{169} \\ l = \sqrt{13 \times 13} \\ l = 13cm \\ therefore \: the \: lateral \: height \: of \: the \: cone \: is \: 13cm \\ pls \: mark \: it \: as \: a \: brainliest$