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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

2 Answers

3 votes

Answer:

Lateral is 180π

SURFACE AREA IS 340π

Explanation:

User Gen
by
3.7k points
6 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 Hythm
by
3.5k points