Is there a way to derive the surface of a ball without integral?

Asked Nov 21 '12 at 13:04

Active Nov 21 '12 at 13:24

Viewed 87 times

Possible Duplicate:
Can the Surface Area of a Sphere be found without using Integration?

A ball is effectively a pyramid with "curved" based. If we know the surface, which is $O=4 \pi r^2$, we know the volume, which is $V=\frac{1}{3} \cdot A \cdot r = \frac43 \pi r^3$

I know I can derive the surface of the ball with calculus. Is there another way?

edited Apr 13 '17 at 12:20

Community

asked Nov 21 '12 at 13:04

user4951

1,714

1

Some geometrical approach is given in robjohn's answer here. – Martin Sleziak Nov 21 '12 at 13:14
It depends on what you call calculus. Archimedes showed it was the same as the curved surface area of the surrounding cylinder so $2\pi rh = 4 \pi r^2$. – Henry Nov 21 '12 at 13:18
Similar question: Can the Surface Area of a Sphere be found without using Integration?. – Américo Tavares Nov 21 '12 at 13:29

Is there a way to derive the surface of a ball without integral?

0 Answers0