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3 years ago

Which three-dimensional object has the same shape for parallel, perpendicular, and diagonal cross sections?

Mathematics

1 answer:

GuDViN [60]3 years ago

3 0

This answer would be a cuboid because it has parallel,perpendicular,and diagonal cross sections

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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

PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!

iris [78.8K]

Answer:

Step-by-step explanation:

7 0

2 years ago

Can someone pls help

Luba_88 [7]

I believe the correct answer would be 5,1,3 :)

3 0

3 years ago

Read 2 more answers

1/4 (20x−28) <2(x−3)+2

xeze [42]

Answer:

Step-by-step explanation:

1/4 x 20x - 1/4 x 28<2x - 6 + 2

5x - 28/4<2x - 4

5x - 2x<-4 + 28/4

3x<-4/1 + 28/4

3x<-16 + 28/4

3x<12/4

3x<3

3x/3<3/3

x<1

6 0

3 years ago

What is the sum of /-10/ and /6/

kap26 [50]

Answer:

Step-by-step explanation:

-10 opposite is 10 which this \ or | means the its positive number. So 10 +6 is 16

7 0

3 years ago