Chapter 9.4, Problem 13E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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In sphere *O*, the length of radius

a)

b)

To determine

**a)**

**To find:**

The length of the chord.

Explanation

**Approach:**

A sphere is a three dimensional solid figure, which is made up of all the points in space, which lie at a common distance, called the radius, from a fixed point called the center of the sphere.

The surface area of a sphere *S* *r *is the radius of the sphere.

All solid bodies occupy space. The measure of occupied space is called the volume of the object.

Volume of a sphere *V* =

The Pythagorean theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The longest side of the right angle triangle is called the hypotenuse.

**Calculation:**

In sphere O, the length of radius

In

*QO = QR = *radius = 6 in.

*QR* is the hypotenuse.

Using the Pythagorean theorem,

To determine

**b)**

**To find:**

The length of the chord.

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