A rectangular pool has a length of 24 feet, a width of 12 feet, and a depth of 8 feet. What is the volume of the pool?
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Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
Oblique Cone
The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.
Step-by-step explanation:
An oblique cone has a radius of 4 units
A height of 8.5 units
A slant length of 11.7 inches
We have to use the slant height to calculate actual base
So in a right angle triangle when two sides are given the third side is calculated by
Root (sqr(11,7) - sqr(8.5)) = 8.03 units
⇒ 8.03 units
Formula to calculate the volume of oblique cone,......................(1)
V =
If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
V =
Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
Here r = 8.03 - 4 = 4.03 units
Volume = × 3.14 × 4.03 × 4.03 × 8.5
Volume = 144.49 cubic inches
Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.