Answer:
I believe the answer in Part A is D and in Part B is 24pi to the 3rd power
Step-by-step explanation:
For Part A, I like to think that you would need H to be alone in order to make the formula. Note that R2 is R to the second power.
V=1/3piR2H
Step 1: Use division property of equality on 1/3 ( dividing by fractions is like multiplying with just the denominator so we would just do 3V)
3V = piR2H
Step 2: Next, we will do division property of equality again, but just on the piR2 (The reason I put this in a different step is because the other one was a fraction)
3V/piR2 = H
Step 3: Flip it and then you got you answer for Part A
H = 3V/piR2
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Part B:
We are now going to use the formula we just got for H, but replace the variables with the numbers ( if it shows it).
Step 1: We are going to use the rule a/b * c/d = ac/bd, it should look like this.
3*32pipi2/4
Step 2: We are going simplify it to this.
96pipi2/4
Step 3: Then we are going to use the Product Rule: x2x3= x5
96pi3/4
Step 4: Finally, simplify and now you done :) (24 π to the 3 power)
24pi3
