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3 years ago

PLEASE HELPPPPPPPPPPPPPPPPPPP

Mathematics

1 answer:

Bingel [31]3 years ago

3 0

Two on the right! :)

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

You need 8 oz of red paint and 12 oz of blue paint to make purple paint. How much red paint is needed for 15 oz of blue paint?

olga2289 [7]

Answer:

10oz

Step-by-step explanation:

Solve

4 0

3 years ago

Determine if true:<br> 24+24-8x2=80

Savatey [412]

Answer:true

Explanation:
24+24=48
48-8=40
40x2=80
80=80!

So it is true.

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2 years ago

Juan and his father went on a driving trip.

Jet001 [13]

Answer:

162

Step-by-step explanation:

260/2=130

130+32=162

8 0

3 years ago

Read 2 more answers

Can you guys help ?

kobusy [5.1K]

The answer is .52
glad 2 help

3 0

2 years ago