Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
Answer:
6 ties
Step-by-step explanation:
At least 37 but fewer than 63 makes it 37-62
So,
37-62 => 6 ties
Answer:
y=50x+100
Step-by
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Answer:
Therefore the approximate area of this clock face is 415.3 feet².
Step-by-step explanation:
Given:
Clock is of Circular Shape,
Diameter = 23 feet
To Find :
Area of Clock Face = ?
Solution:
Area of Circle having Radius 'r' is given as,
Substituting the values we get
Therefore the approximate area of this clock face is 415.3 feet².
The answer would be A. Master plan
