totalentertainment80 totalentertainment80
  • 03-04-2020
  • Mathematics
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Well, I have to write 20 words, so... I think this is enough.

Well I have to write 20 words so I think this is enough class=

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jimthompson5910 jimthompson5910
  • 03-04-2020

Answer: Choice D

m = n

b = sqrt(pi)*a

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.

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