The cube has a larger volume.
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.
216 cubic centimeters
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.
The formula for the volume of any sphere isVolume = ( 4/3 pi ) x (cube of the radius)
The volume of a sphere is calculated with the formula: V = 4/3 π r3 Volume is four thirds pi times the cube of the radius
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
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.
1.91, About double or A sphere that touches a cube at six points (fits in it) is about .52 times as big as the cube. A comparable cube is about twice as big as a sphere, in common lingo. Ladd P.
Density = Mass/Volume, whatever the shape. So, if the masses are the same, the density is greater when the volume id smaller. Thus the sphere, with the smaller volume has the greater density.
The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.
Let the radius of the largest sphere that can be carved out of the cube be r cm.The largest sphere which can be carved out of a cube touches all the faces of the cube.∴ Diameter of the largest sphere = Edge of the cube⇒ 2r = 7 cm∴ Volume of the largest sphere
Yes, if the side length of the cube is one-third of the radius of the sphere.
Volume of a sphere is 4/3 pi times the cube of its radius.
216 cubic centimeters
The volume of a cube is L3. The volume of a sphere is 4/3 π r3 . If L=2r, Vcube=8r3. Comparing the volume of the cube with a side 2r and a sphere with a diameter of 2r where the r's are equal gives us: Vcube/Vsphere= (8r3)/(4/3 π r3 ) or (8x3)/(πx4) As π roughly equals 3 the equation simplifies to: Vcube/Vsphere=2 or a cube with its side equal to the diameter of a sphere has a volume approximately twice that of the sphere.
let edge of the cube be {x} radius of the sphere inside the cube= x/2 volume of the cube=x^3 volume the sphere=4pi/3*r^3 =4/3*22/7*r^3/8 ratio of the volume=x^3/11x^3/21 =21/11 ans.= 21:11
It depends on the shape. The formula for the volume of a sphere is quite different from that for the volume of a cube.