Answer:
285,753 cm³/min
Step-by-step explanation:
The rate of change of volume is the product of the water's surface area and its rate of change of depth.
At a depth of 2 m, the water has filled 1/3 of the 6 m depth of the tank. So, the radius at the water's surface will be 1/3 of the tank's radius of 2 m. The water's surface area is ...
A = πr² = π(2/3 m)² = 4π/9 m²
The rate of change of depth is 0.2 m/min, so the volume of water is increasing at the rate ...
dV/dt = (0.20 m/min)(4π/9 m²) = 8π/90 m³/min ≈ 279253 cm³/min
This change in volume is the difference between the rate at which water is being pumped in and the rate at which it is leaking out:
2.8×10⁵ cm³/min = (input rate) - 6500 cm³/min
Adding 6500 cm³/min to the equation, we get ...
input rate ≈ 285,753 cm³/min
59064 , since i multiplied them on a calculator
Answer:
45.72 cm
Step-by-step explanation:
Given: Height of the Chinstrap Penguin= 68.58 cm
Height of the Emperor penguin= 1.143 meter
Lets calculate the height of Emperor penguin in centimeter.
Remember, 1 meter = 100 centimeter
∴ Converting the unit of height of Emperor penguin.
∴ Height of Emperor penguin is 114.3 cm.
Now, comparing the height of Chinstrap penguin and Emperor penguin´s height.
∴ The Emperor penguin is 45.72 cm taller than Chinstrap penguin.
The answer is m∠K=70º, m∠M=70º, and m∠L=40º.