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What is the ratio of the volume of a cube to the volume of its inscribed sphere?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube?
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
If a sphere is inscribed in a cube how many faces of the cube are tangent to the sphere?
Six Faces, because a cube contains 6 faces.
What is the volume of a sphere with radius of 2 m?
Volume of a sphere is 4/3 pi times the cube of its radius.
How do you find SA ratio with volume ratio?
The surface-area-to-volume ratio also called the surface-to-volume ratio and variously denoted sa/volor SA:V, is the amount of surface area per unit volume of an object or collection of objects. The surface-area-to-volume ratio is measured in units of inverse distance. A cube with sides of length a will have a surface area of 6a2 and a volume of a3. The surface to volume ratio for a cube is thus shown as .For a given shape, SA:V is inversely proportional to size. A cube 2 m on a side has a ratio of 3 m−1, half that of a cube 1 m on a side. On the converse, preserving SA:V as size increases requires changing to a less compact shape.
What is radius of sphere whose volume is 288 pi cube root?
volume is 4/3 pi x the redius cubed
A sphere of radius r is inscribed in a cube what is the volume enclosed between the cube and sphere?
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
Can the surface to volume ratio of a sphere be the same as a cube?
Yes, if the side length of the cube is one-third of the radius of the sphere.
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube?
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
If a sphere is inscribed in a cube how many faces of the cube are tangent to the sphere?
Six Faces, because a cube contains 6 faces.
Which has more volume a cube of side length 4 or a sphere with radius 3?
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.
If you have a cube and a sphere that weigh the same but only the cube will float what does that tell you about the volume?
The cube has a larger volume.
How would the densities of the sphere and cube have compared if the masses of the cube and sphere had been the same but the volume of the cube had been greater?
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.
What is the side length of a cube that has the same volume of a sphere with the radius of 1?
The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.
The largest sphere to be curved out of a right circular cylinder of radius 7centimeter and height 14centimeter. Find the volume of the sphere.?
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
What is the volume of a sphere with radius of 2 m?
Volume of a sphere is 4/3 pi times the cube of its radius.
What is the similarity ratio of a cube with volume 729 to a cube with volume 3375?
3:5
What is the similarity ratio of two spheres with volumes of 20 pi m3 and 160 pi m3.?
The similarity ratio of the two spheres can be found by taking the cube root of the ratio of their volumes. The volume of the first sphere is 20pi m^3 and the volume of the second sphere is 160pi m^3. The cube root of the ratio of their volumes is (160pi/20pi)^(1/3) = (8)^(1/3) = 2. Therefore, the similarity ratio of the two spheres is 2:1.
