82,549 views
22 votes
22 votes
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

User Mike Me
by
2.3k points

1 Answer

14 votes
14 votes

Answer:

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)

User Naaz Muhammadh
by
3.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.