To find the lateral and surface area of the given cone.
Answer to Problem 19SGR
Lateral surface
Surface area
Explanation of Solution
Given:
A cone
Diameter,
Radius,
Height, (
Formula used:
Lateral surface area of a cone
where
Total 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,
So, the lateral surface area of the cone is 376 square centimeters.
To find the surface area of the cone, use the following formula.
Lateral surface area
Now putting the values,
Conclusion:
Hence, the lateral surface area is 376 square centimeters and surface area is 455 square centimeters.
Chapter 12 Solutions
Geometry, Student Edition
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