EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 15, Problem 1A

A sphere has a volume, V, of 12.249 cu in. Use the formula D = V 0.5236 3 to determine the diameter, D, of the sphere.

Expert Solution & Answer
Check Mark
To determine

The length of diameter of the given sphere.

Answer to Problem 1A

Diameter length of given sphere is 2.86 inch.

Explanation of Solution

Given information:

A sphere is given whose volume is 12.249 cubic inch.

Calculation:

As we know that volume of a sphere is given by -  V=π×D36

So, diameter length of the sphere will be given as -  D=V0.52363

  EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 15, Problem 1A , additional homework tip  1EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 15, Problem 1A , additional homework tip  2

Here, volume of the given sphere is 12.249 cubic inch. i.e. V=12.249 cubic inch.

So, diameter of the sphere will be -

  D=V 0.52363D= 12.249 0.5236 inch33               {Put V=12.249 inch3}D=23.393812 inch33  D=2.86 inch          

Hence, diameter of given sphere is 2.86 inch.

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