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
N76 [4]
4 years ago
13

A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and its height is 9 inches. If

the volume of the water is decreasing at a rate of 527 cubic inches per minute, what is the rate, in inches per minute, at which the height of the water is changing when the height of the water is 5 inches?
Physics
1 answer:
VashaNatasha [74]4 years ago
7 0

The volume of the cylindrical can is given by:

V = πr²h

V = volume, r = base radius, h = height

Differentiate both sides of the equation with respect to time t. The radius r doesn't change over time, so we treat it as a constant:

dV/dt = πr²(dh/dt)

Given values:

dV/dt = -527in³/min

r = 8in

Plug in and solve for dh/dt:

-527 = π(8)²(dh/dt)

dh/dt = -2.62in/min

The height of the water is decreasing at a rate of 2.62in/min

You might be interested in
A heat pump receives heat from a lake that has an average winter time temperature of 6o C and supplies heat into a house having
Natalija [7]

Answer:

Explanation:

60000 kJ / h = 60000 x 1000 / (60 x 60 )

= 16667 J /s

a)

\frac{Q_H}{W} =\frac{T_H}{T_H-T_C}

where Q_H and W are heat supplied and heat given from  outside source .

Here Q_H = 16667 J/s

\frac{T_H}{T_H-T_C}=\frac{298}{298-279}

= 15.684

Q_H = 16667 J/s

16667 / W = 15.684

W= minimum power supplied  = 1062.7 W.

b )

If  T_C=283K

\frac{T_H}{T_H-T_C}=\frac{298}{298-283}

=19.87

\frac{Q_H}{W} = 19.87

W=\frac{Q_H}{19.87}

W=\frac{16667}{19.87}

= 838.8 W .

4 0
4 years ago
Which sentence features a shift in tense?
tensa zangetsu [6.8K]
C is the right answer
6 0
4 years ago
The difference between generalized and specialized transduction is:
nikitadnepr [17]

When foreign DNA is introduced in a cell, that is called transduction.

<span>Specialized transduction is when restricted set of genes speciifc,DNA fragments are introduced. On the other hand in generalized or random transduction transfer the genes is accidently.</span>



8 0
4 years ago
One horsepower (1 hp) is the unit of power based on the work that a horse can do in one second. This is defined, in English unit
nikdorinn [45]

Power is defined as rate of work done which means it is work done in 1 second of time

Now it is given that we have a horse that will give power 745.7 W

So it will do work of 745.7 J in  1 second of time

now if we wish to find the work done by horse in 0.55 s

so we can say

W = Power \times time

W = 745.7 \times 0.55

W = 410.14 J

So it will do total work of 410.14 J in 0.55 s of time

7 0
4 years ago
Determine the number of ways the faces of a regular tetrahedron can be colored with three colors
GREYUIT [131]
Tetrahedron is a geometrical figure or solid that is formed in similar manner as a pyramid. The faces of the formed pyramid are triangles. Also is the base. 

By the statement above, it can be deduced that the figure has four sides. The number of ways in which the sides can be colored by any of the three (3) colors is,
             3 x 3 x 3 x 3 = 81

Since the sides can still have the same colors, we deduct this value by 3 in order to eliminate the uniform colors of the four sides.
             = 81 - 3 = 78

Also, we can eliminate the concern on only two colors can mix,
              = 3 x 2 = 6
 Subtracting,
                      78 - 6 = 72

Hence, the answer is 72. 
5 0
3 years ago
Other questions:
  • A large boulder falls from an underwater ledge and crashes on the floor of the ocean.A pod of dolphins is 800 meters away. Deter
    11·2 answers
  • A uniform rod is set up so that it can rotate about a perpendicular axis at one of its ends. The length and mass of the rod are
    12·1 answer
  • During combustion, a fuel’s electromagnetic energy is converted into thermal energy.
    15·1 answer
  • A spring has a spring constant of 113 N/m . How much elastic potential energy is stored in the spring when it is compressed by 0
    13·2 answers
  • Which river in new york state flows for several miles over surface bedrock that is more than 542 million years old?
    8·1 answer
  • Arctic sea ice has declined over the past few decades causing water levels to increase. This is an interaction of which two sphe
    11·1 answer
  • What is the kinetic energy of a car with a mass of 1200 kg and is traveling at 40 m/s?
    6·1 answer
  • How long does it take to travel a distance of 672km at a speed of 95km/h?
    6·1 answer
  • A cube-shaped piece of copper has sides of 4cm each and it's density is
    15·1 answer
  • “Relative” is an important word. Block L of mass mL = 1.90 kg and block R of mass mR = 0.460 kg are held in place with a compres
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!