A buoy used to mark the swimming area at a local beach is in the shape of a sphere that has a diameter of 1.8 meters. About what is the volume of air in the buoy?

The volume of air in buoy is 3.05 cubic meters.

Step-by-step explanation:

We are given the following in the question:

Diameter =  1.8 meters

Radius, r =

The radius of buoy is 0.9 meters.

Volume of air in buoy:

Volume of sphere =

Thus, the volume of air in buoy is 3.05 cubic meters.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).