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:
dffdfdfdfdfsdewered
Step-by-step explanation:
A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.
Given information-
The radius of a nitrogen atom is 
meters.
The radius of a beryllium atom is 
meters
<h3>Negative exponents</h3>
A negative exponent means the number of the exponent divide by the number.
As the radius of the nitrogen atom is meters. Convert it in the power of negative exponent of 10.
Let the radius of the nitrogen is 
mm. Thus,
Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is 
meters and the radius of the beryllium atom is . Thus the radius of beryllium atom is larger.
To calculate how many times, the radius of beryllium atom should be divided by the radius of a nitrogen atom. Thus,
Thus the the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.
Learn more about the negative exponents here;
https://brainly.in/question/1221452
Answer will be A, and if you need help with math work Connects is a great app to use
Answer:
A) 56.549
B) 9.425
Step-by-step explanation:
2(pi)r=56.54867
60/360x56.54867=9.425
