To find: the volume of the given figure
Answer to Problem 17PPS
The volume of the figure is
Explanation of Solution
Given:
Calculation:
The objective is to find the volume of the figure.
The volume of the figure is the sum of the volume of the rectangular box and the volume of the two half cylinder.
The volume V of the half cylinder is given by the formula
where
The volume V of a rectangular prism is given by
wherel is the length, w is the width and w is the height of the rectangular prism.
Since radius is half the diameter of a
The area B of the semicircle is given
Put
Thus, the volume
The volume
The required volume V is
Therefore, the volume of the figure is
Conclusion:
Therefore, the volume of the figure is
Chapter 12 Solutions
Pre-Algebra, Student Edition
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