Answer:
see explanation
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 30, x = 6
k = =
= 5
y = 5x ← equation of proportionality
When x = 12, then
y = 5 × 12 = 60
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!