Tofind:The volume of the time capsule consisting of a cylinder and twoheispheres.
Answer to Problem 3ST2
The volume of the time capsule shown is
Explanation of Solution
Given information:
The students of a school decide to bury a time capsule consisting of a cylinder capped by two hemispheres.
Calculation:
The volume of the time capsule is the sum of the volume of cylinder and two hemispheres.
The diameter of the cylinder and sphere is
The formula for the volume of hemisphere is
The volume of one hemisphere is
Now, the height of the cylinder is
The formula for the volume of the cylinder is
Substitute
The total volume of the time capsule can be calculated as:
Therefore, the volume of the time capsule shown is
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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