Question

What is the lateral surface area of the cone?

A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.

L A = pi r l
108 pi centimeters squared
135 pi centimeters squared
180 pi centimeters squared
270 pi centimeters squared

Answer 1

135 pi centimeters squared

Explanation:

Hello!

where la is lateral surface area

`first \: the \: formula \: for \: the \: lateral \: surface \: are \: of \: cone \: is \\ la = \pi * r * l \\ where \: r = radius \\ l = slant \: height \\ therefore.first \: find \: the \: radius(r) = (d)/(2) \\ r = (18cm)/(2) = 9cm \\ so \: as \: we \: have \: the \: radius \: we \: can \: solve \: for \: the \: la \\ la = \pi * r * l \\ la = \pi * (9cm) * (15cm) \\ la = 135\pi \: cm {}^(2)`