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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


That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?

The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.


A solid rectangular block of metal 49cm by 44cm by 18cm is melted and formed into a solid sphere find the radius ofthe sphere?

To find the radius of the sphere, we need to know that the volume of the rectangular block is equal to the volume of the sphere. The volume of the rectangular block is 49 x 44 x 18 = 38,808 cm³. Equating this to the volume of a sphere (4/3πr³), we can solve for the radius which comes out to be approximately 22.18 cm.


What is the maximum volume of square that can be occupied into a sphere?

The question is meaningless. A square is a plane figure which has "area" and not "volume" as in a sphere..


What is the ratio of the volume of a cube to the volume of its inscribed sphere?

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.


What geometric surface encloses the maximum volume with the minimum surface area?

a sphere


If you have 500 cm2 of material available to cover different shapes. what is the maximum volume of each object that you could make with this amount of material?

You will get the maximum volume in the case of a sphere. You can use the formula for the surface of a sphere to calculate the radius; from there, you can calculate the corresponding volume.Similarly, for other objects, such as a cube, the volume you get will be less.


Formula for rectangular prism?

Depends whether you want the formula for surface area, volume, perimeter, size of sphere it would fit into etc... Please clarify next time.


What is the maximum volume of a cone which is inscribed unable cylinder where radius of cylinder is 4cm and height is 7cm?

Approx 117.3 cubic centimetres.


If the volume of the smaller rectangular box is 27 in what is the volume of the larger rectangular box?

If the volume of the smaller rectangular box is 27 in3, what is the volume of the larger rectangular box?


What is the volume or a sphere?

The volume of a sphere is the amount of space it occupies. Given a sphere's radius, r, the volume is 4/3 ∏r3


What is the volume of a sphere with 7cm?

A sphere with a radius of 7cm has a volume of 1,436.76cm3