240,312 views
33 votes
33 votes
Find the lateral area of this cone.

Leave your answer in terms of .
15in
12 in
LA = [ ? ]t in
Hint: Lateral Area of a Cone = mre
Where e = slant height

Find the lateral area of this cone. Leave your answer in terms of . 15in 12 in LA-example-1
User Vitaliy Prushak
by
3.2k points

2 Answers

10 votes
10 votes

Answer:

Lateral is 180π

SURFACE AREA IS 340π

Explanation:

User Sankar Guru
by
3.1k points
26 votes
26 votes

Given:

Radius of the base of the cone = 12 in.

The slant height of the cone = 15 in.

To find:

The lateral surface area of the given cone.

Solution:

The lateral surface area of the cone is:


LA=\pi rl

Where, r is the radius of the base of the cone and h is the slant height of the cone.

Putting
r=12,h=15, we get


LA=\pi (12)(15)


LA=180\pi

The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.

User Tyrone Wilson
by
2.6k points