Equivalent ratio

Mathematics

1 answer:

Brums [2.3K]2 years ago

3 0

What are the choices that I’m supposed to choose between

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kherson [118]

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Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat

Gennadij [26K]

Volume of water in the tank:

$V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h$

Differentiate both sides with respect to time t :

$\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}$

V changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for dh/dt :

$2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}$

$\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}$

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

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2 years ago

Simplify fully: √18 / √8

sukhopar [10]

Sqrt18 = 3 sqrt2
sqrt 8 = 2 sqrt2

sqrt18 / sqrt 8 = 3 sqrt2 / 2 sqrt2 = 3/2 answer

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3 years ago

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Answer this question for me pls. :)

Finger [1]

-8, 3 Do you need me to explain

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HELP PLEASE ANYONE IVE BEEN ASKING THE SAME QUESTION FOR SO LONG OMG

Gala2k [10]

Answer:

Step-by-step explanation:

C says that w must be greater than or equal to 452.2 and less than or equal to 455.0

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