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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Finding the volume of a sphere (diameter given)

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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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