Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 15, Problem 19A
To determine

(a)

The length of diameter of the given sphere.

Expert Solution
Check Mark

Answer to Problem 19A

Diameter length of given sphere is 3 inch.

Explanation of Solution

Given information:

A sphere is given whose volume is 14.1372 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

  Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  1Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  2

Here, volume of the given sphere is 14.1372 cubic inch. i.e. V=14.1372 cubic inch.

So, diameter of the sphere will be -

  D=V 0.52363D= 14.1372 0.5236 inch33               {Put V=14.1372 inch3}D=27 inch33  D=3 inch ×3 inch×3 inch3 D=3 inch          

Hence, diameter of given sphere is 3 inch.

To determine

(b)

The length of diameter of the given sphere.

Expert Solution
Check Mark

Answer to Problem 19A

Diameter length of given sphere is 6 mm.

Explanation of Solution

Given information:

A sphere is given whose volume is 113.0976 cubic mm.

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

  Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  3Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  4

Here, volume of the given sphere is 113.0976 cubic mm. i.e. V=113.0976 cubic mm.

So, diameter of the sphere will be -

  D=V 0.52363D= 113.0976 0.5236 mm33               {Put V=113.0976 mm3}D=216 mm33  D=6 mm ×6 mm×6 mm3 D=6 mm          

Hence, diameter of given sphere is 6 mm.

To determine

(c)

To find the length of diameter of the given sphere.

Expert Solution
Check Mark

Answer to Problem 19A

Diameter length of given sphere is 2 inch.

Explanation of Solution

Given information:

A sphere is given whose volume is 4.1888 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

  Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  5Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  6

Here, volume of the given sphere is 4.1888 cubic inch. i.e. V=4.1888 cubic inch.

So, diameter of the sphere will be -

  D=V 0.52363D= 4.1888 0.5236 inch33               {Put V=4.1888 inch3}D=8 inch33  D=2 inch ×2 inch×2 inch3 D=2 inch          

Hence, diameter of given sphere is 2 inch.

To determine

(d)

The length of diameter of the given sphere.

Expert Solution
Check Mark

Answer to Problem 19A

Diameter length of given sphere is 1 inch.

Explanation of Solution

Given information:

A sphere is given whose volume is 0.5236 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

  Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  7Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  8

Here, volume of the given sphere is 0.5236 cubic inch. i.e. V=0.5236 cubic inch.

So, diameter of the sphere will be -

  D=V 0.52363D= 0.5236 0.5236 inch33               {Put V=0.5236 inch3}D=1 inch33  D=1 inch ×1 inch×1 inch3 D=1 inch          

Hence, diameter of given sphere is 1 inch.

To determine

(e)

The length of diameter of the given sphere.

Expert Solution
Check Mark

Answer to Problem 19A

Diameter length of given sphere is 10 mm.

Explanation of Solution

Given information:

A sphere is given whose volume is 523.6 cubic mm.

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

  Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  9Mathematics For Machine Technology, Chapter 15, Problem 19A , additional homework tip  10

Here, volume of the given sphere is 523.6 cubic mm. i.e. V=523.6 cubic mm.

So, diameter of the sphere will be -

  D=V 0.52363D= 523.6 0.5236 mm33               {Put V=523.6 mm3}D=1000 mm33  D=10 mm ×10 mm×10 mm3 D=10 mm          

Hence, diameter of given sphere is 10 mm.

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