Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function over [2,4]
The rate of change is the slope of the line,
So,
Substitute,
Therefore, The average rate of change is -3.
Answer:
209.43951 round to the nearest tenth is 209.44
Step-by-step explanation:
A cone with a base radius of 5 units and a height of 8 units has a volume of 209.44 cubed units.
If a cone has a flat bottom, meaning the height and radius meet at right angles, then this formula can be used to find of volume ('V') of that cone (also know as a right circular cone):
V = 1/3(PI*r squared * h )
The volume of a cone can be calculated by taking one-third of the result of the radius squared, multiplied by the height, multiplied by the mathematical constant pi.
Here is a step-by-step case that illustrates how to find to volume of a cone with a radius of 2 feet and a height of 3 feet. Note that in order to save space (and because pi cannot be determine precisely) a limited number of decimal places are used, the symbol ~ denotes that this answer is an approximation.
V = 1/3(pi * r^2 * h)
= 1/3(pi * 2^2 * 3)
= 1/3(pi * 12)
= 1/3(37.7)
~ 12.6 cubic feet
Hope this helps!!
