Concept explainers
To calculate: The total area of a cone frustum if slant height is 5.

Answer to Problem 13PSC
The total area of frustum is
Explanation of Solution
Given information:
Slant height of frustum cone = 5,
Radius of top base = 4,
Radius of bottom base = 8.
Formula used:
Area of cone
C = Circumference of cone and l = slant height of cone
r = radius of
Area of a circle:
r = radius of circle
Calculation:
Radius of larger circle is 8 and radius of smaller circle is 4.
The converse of Midline theorem is used. Midline theorem states that the segment that joins the midpoints of two sides of a
Slant height of top cone = 10.
Slant height of bottom cone = 5.
Circumference of top cone:
Lateral Area of top cone
Lateral Area of top cone
Lateral Area of top cone
Circumference of bottom cone:
Lateral Area of bottom cone
Lateral Area of bottom cone
Lateral Area of bottom cone
Difference in Lateral Area
Area of top base circle
Area of bottom base circle
Total Area = Area of bottom base circle + Area of top base circle + Difference in Lateral Area
Total Area
Total Area
Total Area
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