A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches. What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by
Volume of globe: V =
3
globe?
4
πη3
Since the diameter is 12, the radius is
4
Substitute r into the formula: V =
V=
lin²
Volume of box (square prism): V = Bh
B = s2 so B = (12)2 =
Substitute B and h into the formula: V = - (12)
V=
in3
Space not occupied by globe means the difference of the two volumes, so I
(circle correct operation) add/subtract/multiply divide.
Vbox - Vglobe
-904.32 =
in3