Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (
), measured in cubic feet, is represented by the following formula:
Where 
is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
The derivative of the volume as a function of radius is:
Then, the change in volume is expanded:
If 
and 
, the change in the volume of the sphere is approximately:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Answer:
6 or 3
Step-by-step explanation:
Answer:
Slope: -3/4
y-intercept: (0,-5)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Answer:
13
Step-by-step explanation:
Answer: 
of height has been increased in second jump from the first jump.
Step-by-step explanation:
In first meet, height of best jump = 414 feet
In second meet, height of best jump = 456 feet
Increase in height = 456 feet - 414 feet
= 42 feet
The fraction of increased in height = 
Hence, of height has been increased in second jump from the first jump.
