To find: the lateral and total surface area
Answer to Problem 20PPS
The surface area of the cone is approximately
the lateral area of the cone is approximately
Explanation of Solution
Given:
Formula used:
The lateral area L ofaconeis
The surface area S ofaconeis S=L+B
Calculation:
Consider the figure as shown below:
The objective is to find the lateral and surface area of the cone.
Find the lateral area of the cone as follows:
Hence, the lateral area of the cone is approximately
Find the surface area of the cone as follows:
The area B ofthe base is,
Substitute
Hence, the surface area of the cone is approximately
Conclusion:
Hence, the surface area of the cone is approximately
Chapter 12 Solutions
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