The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
Subtract 15 from both sides
You want to focus on isolating the variable (x)
Answer:10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
the answer will be 10
Answer: 215 seconds
Step-by-step explanation:
This is a ratio problem so you can set up the ratio like this:
120 words : 100 second.
If you divide both sides of the ratio by 120 you get:
1 word: 0.8333 seconds
Multiply both sides of the ratio by 258 and you get:
258 words: 215 seconds.
Therefore typing 258 will take them 215 seconds.
Answer:
Exact form
x=
/10 + 1
Decimal
x=1.31622776
Step-by-step explanation: