To find: the lateral and surface area
Answer to Problem 12PPS
The surface area of the cone is
Explanation of Solution
Given:
Consider the figure as shown below:
Formula used:
The lateral area L of a cone is
The surface area S of a cone is S = L + B
Calculation:
Consider the diameter of the cone is 6 ft and slant height of the cone is
The objective is to find the lateral and surface area of the cone.
First convert the mixed number into decimal.
Find the lateral area of the cone.
Since radius is half the diameter of a
Substitute r = 3 and l = 6.67 in
Thus,
Therefore, the lateral area of the cone is approximately
Find the surface area of the cone as follows:
The area B of the base is given by
Substitute
Conclusion:
Therefore, the surface area of the cone is
Chapter 12 Solutions
Pre-Algebra, Student Edition
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