SOLUTION: A sphere circumscribes a cube of side 4cm.
a) What is the radius of the sphere?
b) Find the ratio of the volume of the sphere and cube
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-> SOLUTION: A sphere circumscribes a cube of side 4cm.
a) What is the radius of the sphere?
b) Find the ratio of the volume of the sphere and cube
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Question 1129803: A sphere circumscribes a cube of side 4cm.
a) What is the radius of the sphere?
b) Find the ratio of the volume of the sphere and cube Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! If s is the length of the sides of the cube, then <—<<< r is 1/2 the diagonal length of the cube, which is
a) or about 3.464cm
b) Because r can be expressed as a function of s, the ratios can be found in general (the will cancel), without the need for a specific radius:
