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What is the volume of a sphere with a diameter of 3 inches

Sagot :

Volume of sphere is

V = (4/3)πr³

Since the given is in diameter we need to convert it first to radius

Diameter = 2r

or

Radius = 2/d

We can now look for radius by substituting the value of diameter to the formula

Therefore

Radius = 2/3

We now have to substitute the value of radius to the formula of volume of sphere

V = (4/3)π(2/3)³

Note: π = 3.14

V = (4/3) * 3.14 * (2/3)³

Find the cube of 2/3 and multiply π to 4/3

V = 4.188790204786391 * 8/27

Multiply the two given

Therefore

Volume is 1.2411230236404121

or

~1.24 inch³

I hope it helps