Chapter 9.4, Problem 50E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Derive a formula for the total surface area of the hollow-core sphere.

(*Note: Include both interior and exterior surface areas*.)

To determine

**To find:**

The formula for the total surface area of the hollow-core sphere.

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 *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 is

Concentric spheres have the same center but different radii.

**Calculation:**

Consider a hollow-core sphere.

Length of the radius of the inside sphere

Length of the radius of the outside sphere

To find the total surface area of the hollow-core sphere, we calculate the surface area of both the concentric spheres and add them up.

Total surface area of hollow-core sphere

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