A sphere with diameter 10 meters is ...

A sphere with diameter 10 meters is inscribed in a cube .What is the volume of the space between the sphere and the cube ?

Text Solution

Verified by Experts

You need to subtract the volume of the sphere from the volume of the cube. The radius of the sphere is 5 and the volume is `(4)/(3) pi (5)^(3)= 523.6m^(3)` . Since the sphere is inscribed in the cube. The side length of the cube is 10 m and its volume is 1,000`m^(3)` .The volume of the space between them is 476.4`m^(3)` You might be asked to find a dimension of a figure if its volume and surface area are equal .

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
ENGLISH SAT|Exercise EXERCISE|6 Videos
STRATEGIES FOR SOLVING SAT MATH PROBLEMS
ENGLISH SAT|Exercise EXAMPLE|19 Videos
TRANSFORMATION AND SYMMETRY
ENGLISH SAT|Exercise EXERCISES|4 Videos

A sphere is inscribed in a cube. The ratio of the volume of the sphere to the volume of the cube is

`0.79:1`

`1:2`

`0.52 :1`

`1:3.1`

A sphere with a diameter of 2 inches is resting on a table. If the distance from the center of the sphere to the edge of the table is 10 inches, what is the distance, in inches, between the point where the sphere contacts the table and the table edge ?

`4 sqrt6`

`3 sqrt11`

`sqrt101`

A cylinder whose base radius is 3 is inscribed in a sphere of radius 5. what is the difference between the volume of the sphere annd the volume of the cylinder?

297

354

448