20 июл. 2010 г. · This means that the volume ratio of the sphere to the bicylinder is proportional to the areas of the circles and squares: πr2(2r)2=π4.

2 сент. 2020 г. · I was asked to explain why the volume of a sphere is 43πr3 to a student that does not have the knowledge of calculus. In doing so I thought ...

13 мая 2020 г. · No, the volume & total surface area of the sliced\cut sphere are not 3/4 of the volume & surface area of the complete sphere but the curved surface area.

22 нояб. 2015 г. · Now if you equate this to the correct formula for the volume of a sphere with radius R, you see that π2r3=(4/3)πR2, which simplifies to r=R3√4/3 ...

25 мар. 2019 г. · Assume area of spherical shell is A=4πr2. Expand the shell by thickness dr. Then dA=4πr2dr. Integrate from 0 to R.

16 авг. 2018 г. · So the total volume is the sum of the areas of the bases of the cones, times the radius, divided by three. The surface area is just the sum of ...

15 авг. 2014 г. · The problem is that the points closer to the center line of the circle don't move a distance of 2πr when the circle is rotated 2π radians.

4 мар. 2015 г. · That's because the projection of the sphere on the xy plane is the circle centered at the origin, having radius R. Its equation is x2+y2=R ...

27 июн. 2013 г. · The volume of a sphere is 43π(radius)3, which in this case is 43πr3. You're told that these volumes are equal: 8πh3= ...

14 дек. 2020 г. · I had a question from the course of school stereometry: why is the volume of a ball calculated exactly according to the formula V=43πR3, why is ...