The volume of the balloon is given by:
V = 4πr³/3
V = volume, r = radius
Differentiate both sides with respect to time t:
dV/dt = 4πr²(dr/dt)
Isolate dr/dt:
dr/dt = (dV/dt)/(4πr²)
Given values:
dV/dt = 72ft³/min
r = 3ft
Plug in and solve for dr/dt:
dr/dt = 72/(4π(3)²)
dr/dt = 0.64ft/min
The radius is increasing at a rate of 0.64ft/min
The surface area of the balloon is given by:
A = 4πr²
A = surface area, r = radius
Differentiate both sides with respect to time t:
dA/dt = 8πr(dr/dt)
Given values:
r = 3ft
dr/dt = 0.64ft/min
Plug in and solve for dA/dt:
dA/dt = 8π(3)(0.64)
dA/dt = 48.25ft²/min
The surface area is changing at a rate of 48.25ft²/min
Answer:
Explanation:
Resistance of wire, R = 48 ohm
It is cut into four pieces.
As we know that the resistance is directly proportional to the length of the wire.
So, the resistance of each piece of wire, R' = 48 / 4 = 12 ohm
Now the four pieces are connected in parallel. So the equivalent resistance is given by
Req = 3 ohm
Answer:
Actually, Sherman, there are more black moths than white ones because of natural selection. The black moths blend into the environment, while the white moths do not. This means that the predators of the moths will find and eat more white moths than black moths. Then, this leads to more black moths and fewer white moths, since black moths have a better chance of surviving and reproducing.
I would assume it’s collision
