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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

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The sphere has more volume.

Q: Which has more volume a cube of side length 4 or a sphere with radius 3?

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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.

2r3, because if you have a radius touching all six sides, you could then double this to get the diameter of the sphere, which would be 2r, then this would be, being a cube, the length of every edge of the cube, which we cube or put to the 3rd power, to find volume.

The formula for the volume of any sphere isVolume = ( 4/3 pi ) x (cube of the radius)

Radius of sphere is the cube root of 332*3/4*pi = 4.295527379 cm

Four thirds of pi x the cube of the radius

Related questions

The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.

volume of the cube - volume of the sphere = volume enclosed between the cube and sphere

No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.

Volume of a sphere is 4/3 pi times the cube of its radius.

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.

2r3, because if you have a radius touching all six sides, you could then double this to get the diameter of the sphere, which would be 2r, then this would be, being a cube, the length of every edge of the cube, which we cube or put to the 3rd power, to find volume.

The radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).

The formula for the volume of any sphere isVolume = ( 4/3 pi ) x (cube of the radius)

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

Radius of sphere is the cube root of 332*3/4*pi = 4.295527379 cm

Four thirds of pi x the cube of the radius

The volume of a sphere is 4/3 Pi x radius cubed. So given V you multiply the volume by 3/4 and divide by Pi, then take the cube root of that entire quantity and you have the radius.