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What And When Was Your Last Light Bulb Moment? When Suddenly Everything Made Sense!

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JoyfulSilence · 51-55, M
The integral of the surface area of a sphere of radius r (evaluated from r=0 to R) equals the volume of the interior of a sphere of radius R.

Also, the integral of the circumference of a circle of radius r (evaluated from r=0 to R), equals the area of a circular disk of radius R.
Primnproper · 56-60, F
@JoyfulSilence wow! Okay then!👍😁
JoyfulSilence · 51-55, M
@Primnproper

I had never made the connection before.

d/dr ( 4/3 * Pi * r^3 ) = 4 * Pi * r^2

d/dr ( Pi * r^2 ) = 2 * Pi * r
Primnproper · 56-60, F
@JoyfulSilence I admit you are way above my intelligence level! 😁
JoyfulSilence · 51-55, M
@Primnproper

I am a mathematician. I could not sleep last night so started thinking of math.

It is also my job.
Primnproper · 56-60, F
@JoyfulSilence That’s amazing!