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
Sholpan [36]
3 years ago
9

The radius of the base of a cylinder is increasing at a rate of 11 meter per hour and the height of the cylinder is decreasing a

t a rate of 44 meters per hour. At a certain instant, the base radius is 55 meters and the height is 88 meters. What is the rate of change of the volume of the cylinder at that instant (in cubic meters per hour)?
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

The volume of the cylinder is decreasing at a rate of 83629.2 m³/h.        

Step-by-step explanation:

The volume of a is given by:

V = \pi r^{2}h

Where:

r: is the radius = 55 m

h: is the height = 88 m

We can express the rate of change of the volume of the cylinder as follows:

\frac{dV}{dt} = \pi[h\frac{2rdr}{dt} + r^{2}\frac{dh}{dt}]

If dr/dt = 11 m/h and dh/dt = -44m/h, we have:

\frac{dV}{dt} = \pi[88 m*2*55 m*11 m/h + (55 m)^{2}*(-44 m/h)] = -83629.2 m^{3}/h

Therefore, the volume of the cylinder is decreasing at a rate of 83629.2 m³/h.       

I hope it helps you!

You might be interested in
Sin(73) = cos (x) pls help lol
viva [34]
X = 17+360n, 343+360n
5 0
2 years ago
Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)
swat32
4x^2 + 12x + 5=4x^2+2x+10x+5 \\  \\ =2x(2x+1)+5(2x+1)=(2x+5)(2x+1) \\  \\ \therefore4x^2+12x+5=(2x+5)(2x+1)
8 0
3 years ago
A chef used 1/9 of a bag of potatoes for a meal. If the potatoes fed 5 people. What fraction of the bag did each person get
tangare [24]

1/9 has to be divided by 5 if it is shared by others.

1/9 divided by 5 is 1/45 and each person would have 1/45

Answer is 1/45

6 0
2 years ago
Results from a survey conducted in a certain grocery store showed that 3 out of 5 people preferred crispy-flakes cereal to crunc
BabaBlast [244]

The number of people who how many most likely purchased crunchy-flakes cereal is 1000 customers.

<h3>How many most likely purchased crunchy-flakes cereal?</h3>

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

The first step is to determine the ratio of people who preferred crunchy-flakes cereal:

Ratio of people who preferred crunchy-flakes cereal : 5 - 3 = 2

Now, multiply the ratio of those who prefer crunchy-flakes cereal by the total number of customers: (2/5) x 2500 = 1000  customers.

To learn more about ratios, please check: brainly.com/question/25927869

#SPJ1

5 0
2 years ago
Polygon ABCD is a rectangle. What is its area? Round your answer to the
galben [10]

9514 1404 393

Answer:

  26 square units

Step-by-step explanation:

Counting grid squares on the graph, we see that segment AB is the hypotenuse of a right triangle with legs 2 and 3. Its length is ...

  AB = √(2²+3²) = √13

We can also see that the adjacent longer sides are twice this length, each being the hypotenuse of a triangle that is 6 wide and 4 high.

  AC = √(6² +4²) = √52 = 2√13

Then the area is ...

  A = LW

  A = (2√13)(√13) = 2·13 = 26 . . . square units

5 0
2 years ago
Other questions:
  • Please answer this multiple choice question only if you know the answer!! 25 points and brainliest!
    6·1 answer
  • 200 people went on holiday 10 % of the children went to Wales 25 % went to Scotland how many more people went to Scotland more t
    8·2 answers
  • PLEASE HELP ASAP<br> will mark brainliest
    8·1 answer
  • What is the measure of an angle that is supplementary to angle that measures 101
    11·1 answer
  • Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
    6·1 answer
  • Helppppp<br><br><br><br><br> plsssss!!!!!!
    13·2 answers
  • Which rule explains why these triangles are congruent?
    15·1 answer
  • Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression.
    9·1 answer
  • Find the median of the data set. 100, 4, 12, 6
    6·1 answer
  • HELP ME PLEASEEE!!!!!!!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!