Find the entire surface area of the bin with a conical top and bottom.
Answer to Problem 48SPR
Explanation of Solution
Given:
Formula Used: The Lateral area L of cone is
The Lateral area L of cylinder is
Calculation:
The bin is made up of cone on the top, cylinder in the middle and cone at the bottom.
Let the slant height of the top cone be l and the slant height of the bottom cone be m:
Diameter of the top and bottom cone is 18 ft. and height is 5 ft and 9 ft. respectively.
radius = r =
Use Pythagoras Theorem to find the slant height of the top cone = l =
Use Pythagoras Theorem to find the slant height of the bottom cone = m =
Lateral area of the top cone =
Lateral area of the bottom cone =
The middle cylinder has radius 9 ft. and height 12 ft.
Lateral area of the middle cylinder =
So, the surface area of the bin =
Hence,
Surface area of bin =
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