Chapter 9.4, Problem 39E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*For Exercises 39 to 44, make drawings as needed.*

Can two spheres

a) be internally tangent?

b) have no points in common?

To determine

**To find:**

Whether two spheres can be internally tangent.

Explanation

**Approach:**

A sphere is a three dimensional solid figure, which is made up of all points in the space, which lie at a common distance, called the radius, from a fixed point called the center of the sphere. A sphere is a 3 dimensional version of a circle. Similar to a circle, a sphere may have tangent and secant lines. In addition, the sphere may also have tangent planes.

1) A line which intersects a sphere in two distinct points is called the secant of a sphere.

2) A line which intersects a sphere in only one point is called the tangent to a sphere.

To determine

**To find:**

Whether two spheres can have no points in common.

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