Geometry
posted by Ariel .
A sphere is inscribed in a cube. The diagonal of one face of the cube measures 4 units. Find the volume of the sphere.
a.) 8Ï€âˆš2/3 units3
b.) 8âˆš2 units3
c.) 4Ï€ units3

Diagonal of one face of the cube = 4 units.
Side of cube = 4/√2=2√2
Radius of sphere, r
=(1/2)side of cube
=√2
Volume of sphere, V
= (4/3)πr³
You can take it from here.
Respond to this Question
Similar Questions

geometry
You have looked at it two times before. There are 30 questions worth 30 points. Part 1 Multiple Choice: Select the best answer from the choices provided. (Each question is worth one point) 1. Determine how many wheels are turning clockwise. … 
geometry
Side of cube=6cm Sphere is placed in cube.Calculate volume of cube.Calculate volume of sphere.What percentage of the space in the cube does the sphere occupy? 
Math
A pyramid is inscribed in a cube whose volume is 52pi cm^3. The volume of a sphere is equal tpo the volume of this pyramid. Find the volume of a second cube whose edge is equal to the radius of the sphere. 
Math
A pyramid is inscribed in a cube whose volume is 52(pi) cm^3. The volume of a sphere is equal to the volume of this pyramid. Find the volume of a second cube whose edge is equal to the radius of the sphere. 
Science
One edge of a copper cube is carefully measured and found to be 2.162 cm. An atom of copper is a sphere 0.2560 nanometers in diameter. Assuming that the volume of the cube contains nothing but copper atoms, how many copper atoms are … 
math
calculate ratio of the area to volume for unit cube, a unit sphere inscribed inside the cube and as right cylinder inscribed inside the cube 
math
A sphere of radius 32√ is tangent to the edges AB, AD, AA1, and the face diagonal CD1 of the cube ABCDA1B1C1D1. The volume of the cube can be written as a+bc√, where a, b are integers and c is a squarefree positive integer. … 
math
The side length, d, of a cube that contains a sphere depends on the radius, r, of a sphere. Assuming that the faces of the cube are tangent to the sphere, write the volume of the cube as a function of the radius of the sphere. 
Math
A souvenir consisting of a cube with an inserted sphere is made to represent Earth. Both pieces are made out of solid crystal. The sphere replaces one quarter of the volume of the cube. Calculate the volume of the souvenir piece. The … 
geometry
Each of the twelve edges of a cube of edge 'a' is tangent to a sphere. Find the volume of that portion of the cube which lies outside the sphere.