Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
That is true because the square root of 32 is about 5.66, so 4.65 IS less than it.
Answer:
1130.97336 units^3
Step-by-step explanation:
The volume of a cylinder can be found using:

We have the area of the base, but not the radius

We know the area is
, so we can substitute that in for a

We want to find r, so we need to isolate it
Divide both sides by pi
36=r^2
Take the square root of both sides
6=r
Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in


Solve the exponent


v=1130.97336
The volume is 1130.97336 units^3
Answer:
I got $7.75.
Step-by-step explanation:
66.85-4.85=62
62/8=7.75.
Answer:
x = 5 units.
Step-by-step explanation:
In a parallelogram. diagonals bisect each other.
This means
.


.
Therefore, the length of x = 5 units.