Answer:
The volume of remaining sphere is 489.84 cubic inches.
Step-by-step explanation:
We are given the following in the question:
A hole 2 inches in radius is drilled out of a solid sphere of radius 5 inches.
Radius of sphere = 5 inches
Radius of hole = 2 inches
Volume of sphere =
[tex]\dfrac{4}{3}\pi r^3[/tex]
where r is the radius of sphere.
Volume of sphere =
[tex]\displaystyle\frac{4}{3}\pi (5)^3\\\\=\frac{4}{3}\times 3.14\times (5)^3\\\\=523.33\text{ cubic inches}[/tex]
Volume of hole =
[tex]\displaystyle\frac{4}{3}\pi (2)^3\\\\=\frac{4}{3}\times 3.14\times (2)^3\\\\=33.49\text{ cubic inches}[/tex]
Volume of remaining solid =
Volume of sphere - Volume of hole
[tex]=523.33 - 33.49\\=489.84\text{ cubic inches}[/tex]
The volume of remaining sphere is 489.84 cubic inches
