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Given:
The height of a right cone = 14 in
Base diameter = 17 in
To find:
The diagram of the cone and its lateral surface area.
Solution:
(a)
The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.
Diagram is not to scale.
(b)
We know that lateral surface of the cone is
...(i)
Where, r is the base radius, h is vertical height and l is the slant height of the cone.
Base radius of the cone =
Now,
Putting r=8.5, h=14 and π=3.14 in (i), we get
Therefore, the lateral surface area of the cone is 437 sq. inches.
