# 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.

Now, let's take a look at the sphere below: Alright, since we are finding the volume of a sphere, we will be using the following volume formula: 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: With the radius, r=7.5 inches, we can calculate for the volume of the sphere as shown below: Now, it is important to include the unit. Since the radius is in inches. The volume will be in cubic inches. Therefore: ### Comments for Finding the volume of a sphere (diameter given)

Average Rating     Apr 01, 2020 Rating    Good information by: Kiddd THANKS FOR YOUR HELP

 Jan 14, 2020 Rating     It worked. by: Nidge The best explanation online! Very easy. Thanks a bunch!!

 Nov 19, 2018 Rating     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 Rating   Volume of Sphere in terms of Diameter by: Anonymous In terms of diameter: V = πD^3)/6

 Feb 21, 2018 Rating    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 Rating     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 Rating     Diameter of sphere by: Anonymous Very helpful!!

 Apr 01, 2016 Rating     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 Rating     thanku it simple by: Perabet I understand clearly thanku

 Jun 15, 2014 Rating     fantastic by: Anonymous I am very pleace because it help me when i could not remember it.

 Sep 04, 2011 Rating     THANKS by: Anonymous That really helped me.

 Aug 24, 2011 Rating     Volume of Sphere, given Diameter by: Ger Volume of Sphere = 0.5235988 X D^3

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