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: 26.32% (rounded to the hundredths)
Answer: Angles RLN and MLK would be vertical angles.
Step-by-step explanation:
Answer: 29 cows
Step-by-step explanation:
First we need to know how many pieces of meat will be needed. But before that, we need to know how many hours are in these 30 days. 24 hours per day so, 30*24=720 hours. 720 hours and 4 pieces of meat per 10 of those hours. We can do 720/10=72, then, 72*4=288. That means we need 288 pieces of meat, if each cow gives you ten, then we can round 288 to the nearest ten which is 290, then, 290/10 is 29. This means that Dumbledore needs 29 whole cows.
<em>(Yer a wizard Harry)</em>