1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julia-pushkina [17]
3 years ago
9

Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it al

titude. How fast is the altitude of the pile increasing when the pile is 5 feet high?​
Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

Either one of these.

Step-by-step explanation:

volumepile=1/3 (PI r^2)h

but r=h/2, so

volume=1/12 PI h^3

dv/dt=10 ft^3/min

but dv/dt=1/12 PI 3h^2 dh/dt

solve for dh/dt

This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula

_______________________________________________

given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min

You might be interested in
HELP ME I WILL GUVE BRAINLEST PLEASE THE ITHER GUY DID IT WRONG
laila [671]
Uppose the fence was 350 ft from home plateAt what height was each ball when it

over the ?
4 0
2 years ago
Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5
aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u>  states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

so

a*(b+c)=a*b+a*c

in this problem we have

-3*(6+5)=-3*6+-3*5 ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0
3 years ago
24° 59' 60" is equivalent to how many degrees.
Lina20 [59]
This question requires you to covert minutes and seconds to degrees
In the question we have 59 minutes and 60 seconds that needs to be converted.
1°=60 minutes
59 minutes = 59÷60
  =0.983333°
60 seconds = 1 minute 
1 minute  = 0.0166667°

So, <span>24° 59' 60" will be equal to
</span>

24°+0.983333°+0.0166667°= 24.9999997°

5 0
3 years ago
Use a strategy to find the product 16 × 400​
Crazy boy [7]

Answer:

enter it in a calculator, and you get 6400

7 0
3 years ago
Which lists all the integer solutions of the equation |x| = 10?
kakasveta [241]

There is no list and no choices given.

The solutions of     | x | = 10   are   x = 10  and   x = -10 .
 
All (both) solutions happen to be integers.
There are no other solutions.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Bridget works part time in a shoe store. Sometimes when it is not busy, she rearranges the shoes for fun. If she takes six diffe
    5·1 answer
  • 2/7 • 9 1/10<br> Please help
    15·2 answers
  • I need help please.
    10·2 answers
  • Write as a product: ac^2–ad+c^3–cd–bc^2+bd
    11·2 answers
  • ANSWER ALL THE QUESTIONS THEN YOU WILL BE BRAINLIEST!
    9·2 answers
  • For what values of θ, −π ≤ θ ≤ π, is y = tan θ undefined?
    8·1 answer
  • Can i get some help on my test please?
    7·2 answers
  • 70 POINTS PLZ ANSWER I NEED ASAP<br><br><br>SHOW STEPS
    11·2 answers
  • Urgent please help..
    11·1 answer
  • How do you account for current liabilities and long-term debt?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!