Finding the volume of a sphere (diameter given)

by Sabrina
(USA)

Question
Find the volume of the sphere where its diameter is 15 inches. Take π=3.14.


Answer
Now, let's take a look at the sphere below:

sphere with the diameter of 15 inches

Alright, since we are finding the volume of a sphere, we will be using the following volume formula:

the formula for the volume of a sphere

where π is a number that is approximately equals to 3.14 (or use the number given to you) and r is the radius of the sphere.

Note that, to use the formula, we need the value of the radius. Since the radius is half of the diameter, we can find the value of the radius by dividing 15 with 2. This is shown below:

the radius of the sphere is 7.5 inches
With the radius, r=7.5 inches, we can calculate for the volume of the sphere as shown below:

calculating the volume of the sphere
Now, it is important to include the unit. Since the radius is in inches. The volume will be in cubic inches. Therefore:
the volume is 1766.25 cubic inches



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Apr 01, 2020
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Good information
by: Kiddd

THANKS FOR YOUR HELP

Jan 14, 2020
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It worked.
by: Nidge

The best explanation online!

Very easy.

Thanks a bunch!!

Nov 19, 2018
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volume of sphere
by: Dr Pete

Clinicians are not taught a quick, 'in your head' estimation of volume of spherical tissue masses; if there were to be a 5-centimeter-diameter mass in the lung [visible on imaging], I can 'snap back' that its approximate volume would be 65 milliliters.

>> How to estimate: given the diameter of the mass, it will occupy very nearly one-half the volume of a cube with sides of the diameter's length.
Derivation: 4/3 pi radius cubed --> 4/3 pi approx. equals 4. radius is diameter/2; radius cubed is diameter cubed/2 cubed; 4/8 = 1/2.
I emphasize, this is an estimate; but quite adequate for clinical purposes, and much quicker than doing the exact calculation.
Colleagues: petepirotte hotmail

Nov 18, 2018
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Volume of Sphere in terms of Diameter
by: Anonymous

In terms of diameter:

V = πD^3)/6

Feb 21, 2018
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Wrong answer at the last but right formula
by: Anonymous

Sir the answer is wrong because the right answer is 1324.68750 or if you round up1324.69 baut thanks for the formula.

Nov 14, 2017
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Very useful.
by: Ayuma

Definitely helped me with what I was looking for... Getting through pre-recs, and needed a refesher on a few things, this being one of them. Thank you much!

May 01, 2016
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Diameter of sphere
by: Anonymous

Very helpful!!

Apr 01, 2016
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Too long ago
by: jimbarry1946

I'm a retired math teacher, but it's been so many years since I used this I had forgotten the formula. I wanted to know how much the volume increased when the radius doubled. Now I know--it's eight times because the two is cubed. Thank you.

Your page appears as if it would be very helpful for young people.

Mar 01, 2015
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thanku it simple
by: Perabet

I understand clearly thanku

Jun 15, 2014
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fantastic
by: Anonymous

I am very pleace because it help me when i could not remember it.

Sep 04, 2011
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THANKS
by: Anonymous

That really helped me.

Aug 24, 2011
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Volume of Sphere, given Diameter
by: Ger

Volume of Sphere = 0.5235988 X D^3

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