Problem

Find the distance between the spheres $ x^2 + y^2…

Problem 46 Easy Difficulty

Find the volume of the solid that lies inside both of the spheres
$$ x^2 + y^2 + z^2 + 4x -2y + 4z + 5 = 0 $$
and
$$ x^2 + y^2 + z^2 = 4 $$

Answer

$V=\frac{\pi}{12}(4 \cdot 2+3)(2 \cdot 2-3)^{2} \approx 2.88$

Topics

Vectors

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

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Problem 46

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Problem 48

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Dorcas Attuabea A.

Kwame Nkrumah University of Science and Technology

Topics

Vectors

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

Top Calculus 3 Educators

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University