SOLUTION: Each vertex of the cube touches the edge of the sphere. If the cube is 2 m on each side, what is the radius of the sphere? Write your answer to two decimal places.

Algebra.Com
Question 1024179: Each vertex of the cube touches the edge of the sphere. If the cube is 2 m on each side, what is the radius of the sphere? Write your answer to two decimal places.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Each vertex of the cube touches the edge of the sphere. If the cube is 2 m on each side, what is the radius of the sphere? Write your answer to two decimal places.
---------
Diameter = sqrt(2^2 + 2^2 + 2^2) = sqrt(12) = 2sqrt(3)
radius = sqrt(3)

RELATED QUESTIONS

Aaron's paperweight is a cube with a sphere inside. the sphere touches each face of the... (answered by ankor@dixie-net.com)
A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of... (answered by scott8148)
A sphere circumscribes a cube of side 4cm. a) What is the radius of the sphere? b) Find (answered by math_helper)
a hollow sphere sits snugly in a foam cube so that the sphere touches each side of the... (answered by fractalier)
a cube of side 3cm contains a sphere withn it.if the sphere touches each face of the... (answered by ankor@dixie-net.com)
A cube and a sphere would have the same volume if the sphere’s radius were halved. What... (answered by Theo)
A sample of an alloy is in the shape of a solid sphere with a radius of 6.4cm. If this... (answered by Fombitz,checkley77)
A sphere of radius Z is inscribed inside a cube of side length 4. Let v be a vertex of... (answered by Alan3354)
A sphere is inscribed in a cube. If the cube has a volume of 64 cubic inches, what is the (answered by fractalier)