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vlabodo [156]
3 years ago
12

Equation Editor Solve -32= -1db for b.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

1+1=2

2+2=4

4+4=8

8+8=16

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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
A cone has a volume of 314 cubic millimeters and a height of 12 millimeters. What is its
Hoochie [10]

Answer:

5mm

Step-by-step explanation:

using the formula of volume of cone i.e. 1/3 ×πr²h

1/3 × πr²h = 314

or, r²= (314×3)/ (π×h)

or, r² = 25

r= 5 mm

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7.0 x 10 to the 6th

Step-by-step explanation:

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