
To find: the surface area.

Answer to Problem 16PPS
Total surface area is
Explanation of Solution
Given: Consider the figure as shown below:
Formulas used:
The lateral area
Calculation:
The figure is combination of two cones.
The perimeter of each cone is
The objective is to find the surface area of the figure.
The surface area of the figure is the sum of the lateral area of cone.
Find the lateral area of the first cone as follows:
To find the lateral area find the radius of the circle.
The perimeter
Substitute
Thus
Therefore, the lateral area of first cone is
Find the lateral area of the second cone as follows:
Put
Thus,
Therefore, the lateral area of the second cone is
The surface area
Conclusion:
Hence the surface area of the figure is approximately
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