1 line, because it’s between 2 points
Answer:
The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.
Step-by-step explanation:
The volume (), in cubic centimeters, and surface area (), in square centimeters, formulas for the candle are described below:
(1)
(2)
Where:
- Radius, in centimeters.
- Height, in centimeters.
By (1) we have an expression of the height in terms of the volume and the radius of the candle:
By substitution in (2) we get the following formula:
Then, we derive the formulas for the First and Second Derivative Tests:
First Derivative Test
There is just one result, since volume is a positive variable.
Second Derivative Test
If :
(which means that the critical value leads to a minimum)
If we know that , then the dimensions for the minimum amount of plastic are:
And the amount of plastic needed to cover the outside of the candle for packaging is:
The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.
Answer:
527.6 cubic inches
Step-by-step explanation:
The volume of a cylinder is represented by the formula , where r represents the radius of the base and h represents the height.
In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.
Substituting in the values and solving, we get:
The Volume will be 527.6 cubic inches
Answer: x intercepts -4,0 6,0 vertex:1,-25
Step-by-step explanation:
In order to eliminate the y term, you need to find what y is equal to in the equation.
1. 6x-5y=-4
-5y=-4-6x
Y=6/5x+4/5
You then sub in 6/5x+4/5 in for y in the equation
2. 4x+2y=28
2y=-4x+28
Y=-2x+14
Hope this helps!