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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?
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.
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 shape is likely to need more material for a critical mass a cube or a sphere?
A sphere is likely to need more material for a critical mass compared to a cube. This is because a sphere has a lower surface area-to-volume ratio than a cube, meaning that for a given volume, a sphere encloses more mass within a smaller surface area. Therefore, to achieve critical mass, a sphere can often require less material than a cube of the same volume.
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.
What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?
surface area of sphere = 4πR2 volume of sphere = 4/3πR3 surface area of cube = 6s2 volume of cube = s3 since volumes are equal then s3 = 4/3πR3 s = [cube root (4/3π)] R surface area ofcube = 6 (cube root( 4/3π) times R)2 surface area sphere = 4πR2= 12.56 R2 surface area cube = 15.44 R2 So a sphere has less surface area than a cube with the same volume. Where R= radius of the sphere s=length of side of the cube Sorry,calculation above is now corrected - same equations, earlier made math error - cube has more surface area as you can see
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.
