SOLUTION: A 90º wedge is removed from a right circular cylinder with a radius of 9 inches and a height of 2 feet. What is the remaining volume of the figure in cubic meter?

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Question 1192098: A 90º wedge is removed from a right circular cylinder with a radius of 9 inches and a height of 2 feet. What is the remaining volume of the figure in cubic meter?

Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

+V%5Bcyl%5D+=+pi%2Ar%5E2%2Ah+ where r = 9in, and h = 2ft = 24in
From this volume, you are removing 1/4 of it. Thus, your final answer is
+V+=+%283%2F4%29pi%2Ar%5E2%2Ah+
The above will give you cubic inches. You then need to convert to cubic meters.
1in = 0.0254m --> +1in%5E3+=+0.00001639m%5E3+ so multiply the answer you get above by this final conversion factor. One cubic inch is a tiny fraction of a cubic meter, this should make intuitive sense to you.

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.

The description of the circular wedge,  given in this post,  leaves its real configuration uncertain

to such a degree that an accurate solution is impossible.

To learn what a circular wedge is and how to describe it, look into this Internet source

https://mathworld.wolfram.com/CylindricalWedge.html