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
sineoko [7]
3 years ago
12

Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always threethree times its height. Supp

ose the height of the pile increases at a rate of 22 cm divided by scm/s when the pile is 1616 cm high. At what rate is the sand leaving the bin at that​ instant?
Physics
1 answer:
hammer [34]3 years ago
5 0

Answer:

159241.048 cm³/s

Explanation:

r = Radius = 3×height = 3h

h = height = 16 cm

Height of the pile increases at a rate = \frac{dh}{dt}=22\ cm/s

\text{Volume of cone}=\frac{1}{3}\pi r^2h\\\Rightarrow V=\frac{1}{3}\pi (3h)^2h\\\Rightarrow V=3\pi h^3

Differentiating with respect to time

\frac{dv}{dt}=9\pi h^2\frac{dh}{dt}\\\Rightarrow \frac{dv}{dt}=9\pi 16^2\times 22\\\Rightarrow \frac{dv}{dt}=159241.048\ cm^3/s

∴ Rate is the sand leaving the bin at that​ instant is 159241.048 cm³/s

You might be interested in
What is the young modulus of polythene?
Rina8888 [55]
The Young’s modulus of polythene is 0.8
8 0
3 years ago
If a vector A has components A. 0, and Ay -0, then the magnitude of the vector is negative. Select one: True False
Dima020 [189]

Answer:

False

Explanation:

The magnitude of any vector is given by,

||A||=\sqrt{A_x^2+A_y^2}

The magnitude of anything is never negative. It can be even seen from the formula that the components are squared. A squared value can never be negative. Even if the component is negative the square will be always positive.

So, magnitude of the vector is <u>not</u> negative.

8 0
4 years ago
Read 2 more answers
The sun's energy is stored in fossil fuels. true or false.
Scilla [17]
Yes,suns original energy are still stored at the bonds of fossils in which they taken long,long time ago and these fossils powered now industries,fuel for vehicles.In those chemical bonds holds much energy packed together for centuries.
8 0
3 years ago
Which substance is a greenhouse gas that is emitted by human activities, is the most widespread, and remains in the air the long
e-lub [12.9K]

Answer:

I am not really sure, but it is probably Carbon Dioxide

Explanation:

3 0
3 years ago
Read 2 more answers
3. Provide two examples of static electric charge.
Rzqust [24]

Answer: 1.  walking across a carpet and touching a metal door handle            2. pulling your hat off and having your hair stand on end.

Explanation

:)

5 0
3 years ago
Other questions:
  • A bicycle tire is spinning clockwise at 3.40 rad/s. During a time period Δt = 2.50 s, the tire is stopped and spun in the opposi
    14·2 answers
  • 3/50 The standard test to determine the maximum lateral acceleration of a car is to drive it around a 200-ft-diameter circle pai
    15·1 answer
  • The gravitational force between the Sun (mass -1.99 1030 kg) and Mercury (mass 3.30 x 1023 kg) is 899 1021 N. How far is Mercury
    10·2 answers
  • A ball is thrown straight upward with a velocity of 24m/s How much time passes before the ball strikes the ground? Disregard air
    13·1 answer
  • if the net force of an object is in a positive direction what will the direction of the resulting acceleration be
    9·1 answer
  • What is the acceleration of the object?
    8·1 answer
  • What is a situation when you might travel at a high velocity, but with low acceleration?
    5·2 answers
  • “What is the stance we take when we first get possession of the Basketball?”
    14·1 answer
  • How often does the World Cup happen?<br> Your answer
    12·2 answers
  • A 7.8-kg solid sphere, made of metal whose density is 2500 kg/m3, is suspended by a cord. When the sphere is immersed in water (
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!