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
Gennadij [26K]
3 years ago
6

The dimensions of a cylinder are changing, but the height is always equal to the diameter of the base of the cylinder. If the he

ight is increasing at a speed of 3 inches per second, determine the speed at which the volume, V , is increasing (in cubic inches per second) when the height is 2 inches.
Physics
1 answer:
VashaNatasha [74]3 years ago
6 0

Answer:

dV/dt  = 9 cubic inches per second

Explanation:

Let the height of the cylinder is h

Diameter of cylinder = height of the cylinder = h

Radius of cylinder, r = h/2

dh/dt = 3 inches /s

Volume of cylinder is given by

V = \pi r^{2}h

put r = h/2 so,

V = \pi \frac{h^{3}}{4}

Differentiate both sides with respect to t.

\frac{dV}{dt}=\frac{3h^{2}}{4}\times \frac{dh}{dt}

Substitute the values, h = 2 inches, dh/dt = 3 inches / s

\frac{dV}{dt}=\frac{3\times 2\times 2}{4}\times 3

dV/dt  = 9 cubic inches per second

Thus, the volume of cylinder increases by the rate of 9 cubic inches per second.

You might be interested in
A person travelled 350 m east from his home and returns back home an hour has displacement of_?​
Svetradugi [14.3K]

Answer:

vector of zero magnitude

Explanation:

The displacement is a vector magnitude, therefore, in addition to being a module, it has direction and sense.

In this case it moved 350 m and then returned the same 350 m, so the total displacement is zero.

If we draw the vector, one has a directional direction to the right and the other direction to the left, therefore when adding the two vectors gives a vector of zero magnitude

7 0
3 years ago
What are the answers is a quiz
defon

Answer:19

Explanation:

4 0
3 years ago
The brick wall (of thermal conductivity 1.12 W/m · ◦ C) of a building has dimensions of 2.8 m by 5 m and is 8 cm thick. How much
hichkok12 [17]

Answer:

Explanation:

If H be the heat flowing in time t through an area of A having thickness d

H = k A x ( θ₂ - θ₁ ) t / d  , k is thermal conductivity , ( θ₂ - θ₁ ) is temperature difference of walls

putting the given values

= (1.12 x 2.8x 5 x 9 x 16.7 x 60 x 60) / .08

= 1.06 x 10⁸ J .

5 0
3 years ago
Pls answer B And C Will Mark Brainlist. And 30 Points. :)
Vika [28.1K]

Answer:

use the formula for option B ( d/t = s )

and

look at the graph representation to explain

5 0
3 years ago
Which atomic number is the threshold value below which fusion may occur?
Luda [366]

Answer:

The atomic number 26(iron) is the threshold value below which the fusion might occur.

Explanation:

Nuclear fusion is a reaction in which two or more nuclei are combined to form one or more different atomic nuclei and subatomic particles.

Energy released in a fusion reaction is because of a key feature of nuclear matter called the binding energy which is a measure of the efficiency with which its constituent nucleons are bound together.

As we go up in atomic number, the energy released per nuclei goes down until it hits a minimum which is for atomic number 26 (iron) and fusion is not possible.

7 0
3 years ago
Read 2 more answers
Other questions:
  • in an experiment which the volume of dry sand is measured by the displacement of water, the sand was slightly wet to begin with.
    6·1 answer
  • The object falls faster at the pole then the equator why​
    5·1 answer
  • Which statement best describes copper?
    8·1 answer
  • Please helpppp<br> Can you tell me which constellations are in the North, West, East, and, South?
    8·1 answer
  • 5 potential causes of infertility
    8·2 answers
  • A stationary police car emits a sound of frequency 1240 HzHz that bounces off of a car on the highway and returns with a frequen
    13·1 answer
  • What is the difference between distance and position?
    14·1 answer
  • A 9.0 m long uniform rod with a weight of 8 N has 3 masses hanging from it; a 4N mass 1 meter from the left end, a 2 N mass 6 me
    8·1 answer
  • Explain
    8·1 answer
  • In places such as hospital operating rooms or factories for electronic circuit boards, electric sparks must be avoided. A person
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!