Acylinder shaped container has a radius of 20 meters and a height of 100 meters. a glass sphere with a radius of 12 meters is placed inside the cylinder shaped container and then the container is completely filled with water. what is the approximate volume of water contained in the cylinder? use 3.14 for pi. 24,165 m³ 31,400 m³ 118,365 m³ 125,600 m³

The approximate volume of water contained in the cylinder is

Step-by-step explanation:

we know that

To find the volume of water subtract the volume of the sphere from the volume of the cylinder

step 1

Find the volume of the cylinder

substitute the values

step 2

Find the volume of the sphere

substitute the values

step 3

Find the volume of water

  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).