a.
To find the lateral surface area of the given cone.
a.
Answer to Problem 20PT
Lateral surface
Explanation of Solution
Given:
A traffic cone
Radius,
Height,(
Formula used:
Lateral surface area of a cone
where
Pythagoras theorem:
In
Calculation:
In
Putting the values,
Taking square root on both sides,
To find the lateral surface area of the cone, use the following formula.
Lateral surface area
Now putting the values,
The lateral surface area of the cone is 298 square inches
Conclusion:
Hence, the lateral surface area is 298 square inches.
b.
To find the surface area of the given cone.
b.
Answer to Problem 20PT
376 square inches
Explanation of Solution
Given:
A traffic cone
Radius,
Slant height,(
Formula used:
Total surface area of a cone
where
Calculation:
To find the surface area of the cone, use the following formula.
Lateral surface area
Now putting the values,
So, the surface area of the cone is 376 square inches.
Conclusion:
Therefore, the surface area of the cone is 376 square inches.
Chapter 12 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning