Answer:
8
Step-by-step explanation:
1. Divide the area (in square units) by Pi (approximately 3.14159).
2. Take the square root of the result. This is the radius.
3. Now double the radius to get the diameter
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
If the organizers of a race have a prize that they want each participant to have an equal chance of winning, the description of a fair method of choosing a winner for this prize is "<span>If the participants in the race each have a number, the organizers could select a number by putting slips of paper with each number into a box and randomly choosing one".</span>
X * 5% = $100
x * .05 = $100
x * .05/.05 = $100/.05
x = $2000
Check
$2000 * 5% = $100
$100 = $100
