144pi units squared
Surface area of a sphere = 4*pi*radius squared
Surface area of a sphere is: 4*pi*radius squared
Surface area of a sphere = 4*pi*radius^2
Radius times length times .33
The length of a sphere is its diameter
144pi units2
The answer is given below.
The base of a sphere is a single point: with no length or breadth.
The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.
144pi units squared
Surface area of a sphere = 4*pi*radius squared
Surface area of a sphere is: 4*pi*radius squared
Surface area of a sphere = 4*pi*radius^2
Radius times length times .33
To determine empty space, we will assume that the sphere fits snugly(so that each side of the cube is touching the sphere). First, we take the volume of the cube, which is just one of its side lengths cubed(side length X side length X side length). Record this quantity. Then we find the volume of the sphere. The formula for the volume of a shere is (4/3) Pi r cubed. Since the sphere fits snugly, we know that the radius is half of the side length. We then take the cube volume and subtract the sphere volume, and that is the empty space remaining.
Volume of cube = (side length )3 Volume of a sphere = 4/3*pi*r3 Looks like the sphere by a long shot, but let's see. Volume cube = (4)3 64 === The sphere has more volume.