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3 years ago

Help you will get 30 Points

Mathematics

1 answer:

Stells [14]3 years ago

8 0

Answer:

Line A is filling more quickly

Step-by-step explanation:

Hope this helps!!:)

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Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein

Bad White [126]

Answer:

The rate at which water is being pumped into the tank is 13,913.27 cubic centimetre per minute

Step-by-step explanation:

Given that, the height of the conical tank is 13 meters and diameter is 3 meters.

Radius = $\frac32$ meters

$\therefore \frac{radius }{height}=\frac {\frac{3}{2}}{13}$

$\Rightarrow \frac{radius }{height}=\frac {3}{26}$

$\Rightarrow radius=\frac {3}{26}\times height$ ......(1)

The volume of the cone is $V=\frac13 \pi r^2 h$

Now putting $r=\frac{3}{26} h$

$V=\frac13 \pi (\frac3{26}h)^2 h$

$\Rightarrow V=\frac{3}{676} \pi h^3$

Differentiating with respect to t

$\frac{dV}{dt}=\frac{3}{676}\pi .3h^2 \frac{dh}{dt}$

$\Rightarrow \frac{dV}{dt}=\frac{9}{676}\pi h^2 \frac{dh}{dt}$

Given that, the water level is rising at a rate of 17 cm per minute when the height 1 meter= 100 cm .i.e $\frac{dh}{dt}=17$ cm/min

Putting $\frac{dh}{dt}=17$

$\frac{dV}{dt}=\frac{9}{676}\pi h^2 \times 17$

$\frac{dV}{dt}|_{h=100}=\frac{9}{676}\pi (100)^2 \times 17$

≈7,113 cubic centimetre per minute

The volume of water increases 7,113 cubic centimetre per minute while 6,800 cubic centimetre per minute is leaking out.

It means the required rate at which water is being pumped into the tank is

=(7,113+6,800)cubic centimetre per minute

=13,913 cubic centimetre per minute

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4 years ago

12(x+4)+3(-3-2x)=71 what does x equal

RUDIKE [14]

X=3 let me know if this is right ;)

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Please help me, thank you

amid [387]

145 miles apart

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3 years ago

(-102.750 divided by (-3) rounded to the nearest hundred

AnnZ [28]

34.25 is your answer (no negative because a negative divided or multiplied by a negative is a positive) brainliest pls

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John drove 48 miles and used 2 gallons of gasoline how many gallons of gasoline will he use if he drives 78 miles

DanielleElmas [232]

4 gallons but still have some left over
(3 1/6 gallons)

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