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
Two dices are tossed. What is probability that you will see even numbers on both dices? Answer should be in reduced
zimovet [89]

Answer:

3/6

Step-by-step explanation:

Well 3 is half of 6 and if you were to turn that into a fraction it would either be 3/6 or 1/2.

8 0
3 years ago
6,283.25 what place is the 2 in, in 283
Vaselesa [24]
Its in the hundreds column
8 0
2 years ago
What is the slope of the line below? *
7nadin3 [17]
The slope of the line is 3/4
4 0
3 years ago
Vertex of y=5x^2-10x+1
kirill [66]
Convert to vertex form:-

y = 5(x^2 - 2x) + 1

y = 5[(x - 1)^2 - 1] + 1

y = 5(x - 1)^2  - 4


vertex is (1, -4)
4 0
3 years ago
What is the value of x in the equation below? 4(x + 3) = 9x + 16 + 3x
creativ13 [48]

Answer:

x = -1/2

Step-by-step explanation:

4(x + 3) = 9x + 16 + 3x

Distribute the 4

4x +12 = 9x+16+3x

Combine like terms

4x+12 = 12x+16

Subtract 4x

4x-4x+12 = 12x-4x+16

12 = 8x+16

Subtract 16

12-16 = 8x+16-16

-4 =8x

Divide by 8

-4/8 =8x/8

-1/2 =x

3 0
3 years ago
Other questions:
  • If Aaliyah runs 212 miles each day, how many miles will Aaliyah run in 3 days?
    13·1 answer
  • A test for marijuana usage was tried on 170 subjects who did not use marijuana. The test result was wrong 8 times.a. Based on th
    6·1 answer
  • What is the solution of the system of equations? 4x-3y=-1 3x-9y=33
    6·1 answer
  • A bag contains 25 marbles of the same size that are yellow, green, and purple. The probability of picking a yellow marble is 20%
    8·1 answer
  • What is the means-to-MAD ratio of the two data sets, expressed as a decimal?
    11·1 answer
  • A solid cube of side 18 cm is cut into 8 cubes of equal volume what will be the side of the new cube ? Also find the ratio betwe
    7·2 answers
  • Read the graph. A bar graph titled Jobs Created by New Businesses in the U S from 2005 to 2010 has years on the x-axis and jobs
    10·2 answers
  • Make your own word problem using 2 equivalent RATES.
    13·1 answer
  • 25. Given: TE= RI, TI = RE,<br> Proof<br> LTDI and LROE are right /<br> Prove: TD=RO
    6·1 answer
  • Suppose the shipping weight of your cheese shop's customized gift baskets is asymmetrically distributed with unknown mean and st
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!