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3 years ago

Can someone please answer ASAP!

Mathematics

2 answers:

Alik [6]3 years ago

8 0

Answer:

I want to answer but their is no question

katrin [286]3 years ago

4 0

Answer:

well, where's the question tho?

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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is

solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

$V = \frac{1}{3}h\pi r^{2}$

Where:

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]$

Since h = 4/3 r we have:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

$\frac{dr}{dt}$ = 3 in/min

$r = 3 ft*\frac{12 in}{1 ft} = 36 in$

And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

$\frac{dV}{dt} = 16286 in^{3}/min$

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

3 0

3 years ago

Can someone please help me

salantis [7]

Using Pythagorean theorem

$\\ \sf\longmapsto P^2=H^2-B^2$

$\\ \sf\longmapsto P^2=6^2-5^2$

$\\ \sf\longmapsto P^2=36-25$

$\\ \sf\longmapsto P^2=11$

$\\ \sf\longmapsto P=3.2$

4 0

2 years ago

Read 2 more answers

Need help ...................

aliina [53]

Answer:

with?

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP I PROMISE I WILL MARK BRAINLIEST IF RIGHT ASAP.

Roman55 [17]

Answer:

1.8

Step-by-step explanation:

5 0

3 years ago

Can you explain with steps

bonufazy [111]

Answer:

Yep

1. Click ask question at the top

2. type your question or add a picture

3. then click Ask

but you messed up in step 2 because you didn’t add a picture! Your Welcome

Step-by-step explanation:

5 0

3 years ago