Answer:
The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.
Step-by-step explanation:
Geometrically speaking, the volume of the right circular cone (
), in cubic inches, is defined by the following formula:
(1)
Where:
- Radius, in inches.
- Height, in inches.
Then, we derive an expression for the rate of change of the volume (
), in cubic inches per second, by derivatives:
(2)
Where:
- Rate of change of the radius, in inches per second.
- Rate of change of the height, in inches per second.
If we know that
,
,
and
, then the rate of change of the volume is:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.
Answer:
Clouds = 19
Sun = 8
Groundhog in Hole = 32
Groundhog with hat + TV (TOGETHER they equal 13) = ANY two numbers whose sum is 13 (for example 7+6).
? = 416
I hope this helped! This was a challenging puzzle! I hope you have a nice day! (If it is possible can you give me a brainliest? I would really appreciate if you did!)
Sincerely,
Rekifromsk8theinfinity
:D
Answer:
24
Step-by-step explanation:
Therefore our proportion is: (where x is the "vertical" rise)
Slope is defined as rise over fun so....
12/100 = x/200
(12*200)/100 = x
24 feet = x