Answer :
The volume of globe is 381.51 cubic inches when the dimensions of the globe were reduced by half
Solution:
The globe is usually of spherical shape
The volume of sphere is given as:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Where, "r" is the radius of sphere
Given that diameter is 18 inches
Diameter = 18 inches
[tex]Radius = \frac{diameter}{2}\\\\Radius = \frac{18}{2} = 9[/tex]
Thus radius is 9 inches
The dimensions of the globe were reduced by half
Thus radius is reduced by half
[tex]Radius = \frac{9}{2} = 4.5[/tex]
Now find the volume of sphere
[tex]V= \frac{4}{3} \times 3.14 \times 4.5^3\\\\V= 4 \times 3.14 \times 30.375\\\\V = 12.56 \times 30.375\\\\V = 381.51[/tex]
Thus volume of globe is 381.51 cubic inches