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geometry intermediate
Problem
The length of the diameter of this spherical ball is equal to the height of the box in which it is placed. The box is a cube and has an edge length of 30 cm. How many cubic centimeters of the box are not occupied by the solid sphere? Express your answer in terms of . 
Solution
The box has volume cubic cm.
The sphere has radius and volume cubic cm.
Thus, the volume of the space in the box not occupied by the sphere is cubic cm.
The sphere has radius and volume cubic cm.
Thus, the volume of the space in the box not occupied by the sphere is cubic cm.
Final answer
27000-4500\pi