The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
<h2>
Hello!</h2>
The answers are:
<h2>
Why?</h2>
Since we are given the margin of error and it's equal to ±0.1 feet, and we know the surveyed distance, we can calculate the maximum and minimum distance. We must remember that margin of errors usually involves and maximum and minimum margin of a measure, and it means that the real measure will not be greater or less than the values located at the margins.
We know that the surveyed distance is 1200 feet with a margin of error of ±0.1 feet, so, we can calculate the maximum and minimum distances that the reader could assume in the following way:
Have a nice day!
Answer:
2a + 8b
Step-by-step explanation:
Answer:
A. X = 30º
Step-by-step explanation:
The angle labeled x & the right angle are vertical angles to the one labeled 120º.
Therefore:
X + 90 = 120
Solve for x:
X + (90-90) = 120 - 90
X = 30
Hope this helps! Have a great day!
Answer: X= 25 degrees
Step-by-step explanation:
A triangle is 180 degrees.
115+40=165
180-165=25 degrees
