Answer:
[tex]V=36 \pi[/tex] cubic inches
Step-by-step explanation:
Diameter is increasing at 3 inches more than time, When t = 3
Diameter (d) = 3+3 = 6
d = 6
Radius is HALF of diameter, so
r = 6/2 = 3
Now, the volume of a sphere is given by the formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Putting r = 3, we get:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi[/tex]
The volume would be 36π
