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jmc

geometry junior

Problem

Two right circular cylinders have equal volume. The first cylinder has a radius of 6 inches and a height of 12 inches. What is the number of inches in the height of the second cylinder if its radius is 8 inches? Express your answer as a mixed number.
Solution
Let the second cylinder have height inches. Setting the two volumes equal, we have Solving yields inches.
Final answer
6 \frac{3}{4}