Concept explainers
Find the volume of a hollow machined steel piece shown. Round the answer to 1 decimal place.
The volume of machined piece shown in the figure.
Answer to Problem 33A
The volume of machined piece is
Explanation of Solution
Given information:
Concept used:
The piece being machined is shown in the figure. The shape of the piece is of frustum of a cone and a thorough a hollow frustum shape has been machined from the piece.
The volume of the given piece can be calculated by subtracting the volume of hollow frustum from the volume of frustum of cone.
The volume of the frustum of right circular cone is
Where, h = height, and R = radius of larger Base and r = radius of smaller base.
Calculation:
Now, the volume of the thorough cut hollow frustum can be calculated from the same formula.
Now, the volume of the given piece
Conclusion:
Thus, the volume of hollow machined piece is
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