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    Calculus A Complete Course
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    Exam 15: Multiple Integration
  5. Question
    The Plane X + Y + Z = 1 Slices\(\le\)
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The Plane X + Y + Z = 1 Slices ≤\le≤

Question 66

Question 66

Multiple Choice

The plane x + y + z = 1 slices the ball x2 + y2 + z2 ≤\le≤ 1 into two pieces. Find the volume of the smaller piece. (Hint: Replace the plane by a horizontal plane at the same distance from the origin.)


A) π\piπ  The plane x + y + z = 1 slices the ball x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  1 into two pieces. Find the volume of the smaller piece. (Hint: Replace the plane by a horizontal plane at the same distance from the origin.)  A)   \pi    cubic units B)   \pi    cubic units C)   \pi    cubic units D)   \pi    cubic units E)   \pi    cubic units cubic units
B) π\piπ  The plane x + y + z = 1 slices the ball x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  1 into two pieces. Find the volume of the smaller piece. (Hint: Replace the plane by a horizontal plane at the same distance from the origin.)  A)   \pi    cubic units B)   \pi    cubic units C)   \pi    cubic units D)   \pi    cubic units E)   \pi    cubic units cubic units
C) π\piπ  The plane x + y + z = 1 slices the ball x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  1 into two pieces. Find the volume of the smaller piece. (Hint: Replace the plane by a horizontal plane at the same distance from the origin.)  A)   \pi    cubic units B)   \pi    cubic units C)   \pi    cubic units D)   \pi    cubic units E)   \pi    cubic units cubic units
D) π\piπ  The plane x + y + z = 1 slices the ball x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  1 into two pieces. Find the volume of the smaller piece. (Hint: Replace the plane by a horizontal plane at the same distance from the origin.)  A)   \pi    cubic units B)   \pi    cubic units C)   \pi    cubic units D)   \pi    cubic units E)   \pi    cubic units cubic units
E) π\piπ  The plane x + y + z = 1 slices the ball x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  1 into two pieces. Find the volume of the smaller piece. (Hint: Replace the plane by a horizontal plane at the same distance from the origin.)  A)   \pi    cubic units B)   \pi    cubic units C)   \pi    cubic units D)   \pi    cubic units E)   \pi    cubic units cubic units

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