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 ->  Volume -> 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      Log On


   



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) About Me  (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 - %284%2F3%29%2Api%2A3.25%5E3 =
274.625 - %284%2F3%29%2Api%2A34.328 =
274.625 - 147.793 = 130.83 cu inches not inside sphere
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