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Printjmc
geometry junior
Problem
How many congruent 4-foot tall cylindrical pipes with an inside diameter of 2 inches are needed to hold the same amount of water as one pipe of the same height with an inside diameter of 12 inches?
Solution
Each cylindrical pipe with diameter 2 has radius and volume .
The cylindrical pipe with diameter 12 has radius and volume .
Thus, we need pipes with diameter 2 to hold the same amount of water as a pipe with diameter 12.
The cylindrical pipe with diameter 12 has radius and volume .
Thus, we need pipes with diameter 2 to hold the same amount of water as a pipe with diameter 12.
Final answer
36