SOLUTION: Aaron's paperweight is a cube with a sphere inside. the sphere touches each face of the cube at one point. the radius of the sphere is 3.25 centimeters. How much space inside the c

Algebra.Com
Question 114294: Aaron's paperweight is a cube with a sphere inside. the sphere touches each face of the cube at one point. the radius of the sphere is 3.25 centimeters. How much space inside the cube is not inside the sphere?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
paperweight is a cube with a sphere inside. the sphere touches each face of the cube at one point. the radius of the sphere is 3.25 centimeters. How much space inside the cube is not inside the sphere?
:
From the description of this object, we can surmise that the diameter of the
sphere is the dimension of the cube, namely 6.5 cm.
:
Vol of the cube - Vol of the sphere = space not inside the sphere
6.5^3 - =
274.625 - =
274.625 - 147.793 = 130.83 cu inches not inside sphere
:
:

RELATED QUESTIONS

a cube of side 3cm contains a sphere withn it.if the sphere touches each face of the... (answered by ankor@dixie-net.com)
The sphere at the right fits snugly inside a cube with 6-in. Edges. What is the... (answered by ankor@dixie-net.com)
The sphere at the right fits snugly inside a cube with 4​-in. edges. What is the... (answered by josgarithmetic)
A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of... (answered by scott8148)
A sphere fits snuggly inside a cube with 6 in edges. A) What is the radius of the sphere. (answered by solver91311)
The sphere of radius r inside a cube touches each one of the six sides of the cube what... (answered by richwmiller)
a hollow sphere sits snugly in a foam cube so that the sphere touches each side of the... (answered by fractalier)
If a sphere is inscribed within a cube, and the radius of the sphere is 3 ft., then what... (answered by fractalier)
A sphere sits inside a cylinder and touches all sides. The radius of the sphere is 10... (answered by ikleyn)