Answer:
3888pi cm^3 or 12214.5122372 cm^3
Step-by-step explanation:
To being, let's list out what we know
The volume of a sphere is
V = 4/3(pir^3)
But this is only half of a sphere, so the volume of it should be
V =2/3(pir^3)
With the diameter of the shape being
d = 36
We will first need to find the radius to use the formula above
r = d / 2
= 36 / 2
= 18
Now, let's start plugging in values
V = 2/3(pi18^3)
= 2/3 ( 5832pi)
= 3888pi or 12214.5122372
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
Kiran earns $8.50 per hour.
Let x represent Kiran's pay. He worked 23 hours last week, so his pay would be given by 23x.
Kiran's cousin is paid 30% more. 30% = 30/100 = 0.3. We add this to the x per hour that Kiran is paid:
x + 0.3x = 1.3x
This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)
This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85
Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5
Thus Kiran earns 8.50 per hour.
Part A
Correlation coefficient: -.99
This tells us that as time goes on (value of x increases) the area of the puddle goes down (value of y decreases)
Part B
y₂ - y₁
------- = slope
x₂ - x₁
9 - 15
--------
5 - 8
-6/-3 = 2
So the slope equals -2, regardless of the fact that we got 2 as an answer there, we know that it is a negative slope
Part C
The data represents causation because an increase in the value of x results in a decrease in the value of y, this shows an example of direct causation between x and y.
