We are about to study shapes in our world that are 3 dimensional.
My question for you to think about and respond to is this: Look up the formula for finding the volume of a sphere in your book. Look up finding the volume of a n-sided polyhedra. How do you think this formula evolved?
When you answer this, recall the discussion we had about the formula for area of a circle and area of a n-sided polygon.....which took me a few moments to recall for you..
Have a great break!!!
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Mrs.Tucker, I'm not sure this is right or not but I tried. If you think it's wrong, please tell me at school,okay! I really want to know the right answer. Here is my solution:
Recall the Area of a n-sided polygon is A=1/2aP(a is the apothem and P is the Perimeter).Then, we proved that Area of the circle is A=pi r2(2 means square, I couldn't put it small!!!) by replacing a with r and P with 2r pi from the formula for N-sided polygon's Areas, and simplifying the numbers. Thus, following this process, I got:
Sphere's volume formula is V=4/3 pi r3 (r to the third). I rewrited it as V=4/3 pi r2(r square)r. Then, I replaced pi r2 (r square)with aP/2,r with a and simplified some numbers. Finally, I got V=2/3 a2(a square)P, which is formula for finding a n-sided polyhedra's volume.
Thank you for reading, Mrs.Tucker. I know it's very long. Oh, by the way, HAPPY NEW YEAR to you, "my good teacher"!!!!!!!!!!!!!!!!!!!
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