To find: the diameter of each container
Answer to Problem 27HP
The diameter of each cylinder is 2.96 units.
Explanation of Solution
Given:
The volume of water in a cone is 93 cubic units
The height of water level in each cylinder is 4.5 units
Formula used:
The volume V of the cylinder is
Calculation:
The objective is to find the diameter of each container.
The volume V of the cylinder is given by the formula
where
The volume V of the cylinder is
The volume of three congruent cylinder is
Since the volume of water is 93 cubic units, so
Therefore, the diameter of each cylinder is approximately 2(1.48) units that is 2.96 units.
Conclusion:
Therefore, the diameter of each cylinder is 2.96 units.
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