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
Kamila [148]
2 years ago
15

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 cubic meters per minute. How fast is the height of

the water increasing
Mathematics
1 answer:
sasho [114]2 years ago
4 0

Answer:

Step-by-step explanation:

Let's calculate the volume of the tank per each meter in height.

The volume of a cylinder is πr²h, where h is the height.  

A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:

Vol = (3.14)*(5 meters)^2 *(1 meter)

Vol (m^3) = 78.54 m^3 per 1 meter height.

If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:

(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min

You might be interested in
the probability tree diagram shows the probabilities that a football team will win their first two games find the probability of
nevsk [136]

Answer:1/2

Step-by-step explanation:

7 0
2 years ago
Fiona divided 3x2 + 5x – 3 by 3x +2. The expression represents the remainder over the divisor. x + 1 + What is the value of a?
grigory [225]
                    x + 1
         __________
3x+2 I 3x² +5x -3
           3x² +2x
           ----------
                    3x -3
                    3x+2
                    --------
                          -5 is the remainder 
                 
8 0
3 years ago
Read 2 more answers
PLEASE HELP. <br> if v1….
Rainbow [258]
I believe the answer is 4.4
6 0
2 years ago
How do you put 96 divided by 6 in distributive property
o-na [289]
(96)/6

and it equals 16
5 0
3 years ago
Some people think it is unlucky if the 13th day of a month falls on a Friday. Show that in every calendar year (non leap or leap
MakcuM [25]
We will set a variable, d,  to represent the day of the week that January starts on.  For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday).  The next week would start over at d, and the month would continue. For non-leap years:
If January starts on <u>d</u>, February will start 31 days later.  Following our pattern above, this will put it at <u>d</u><u> + 3</u> (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3).  In a non-leap year, February has 28 days, so March will start at <u>d</u><u>+3</u> also.  April will start 31 days after that, so that puts us at d+3+3=<u>d</u><u>+6</u>.  May starts 30 days after that, so d+6+2=d+8.  However, since we only have 7 days in the week, this is actually back to <u>d</u><u>+1</u>.  June starts 31 days after that, so d+1+3=<u>d</u><u>+4</u>.  July starts 30 days after that, so d+4+2=<u>d</u><u>+6</u>.  August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is <u>d</u><u>+2</u>.  September starts 31 days after that, so d+2+3=<u>d</u><u>+5</u>.  October starts 30 days after that, so d+5+2=d+7, which is just <u>d</u><u />.  November starts 31 days after that, so <u>d</u><u>+3</u>.  December starts 30 days after that, so <u>d</u><u>+5</u>.  Remember that each one of these expressions represents a day of the week.  Going back through the list (in numerical order, and listing duplicates), we have <u>d</u><u>,</u> <u>d,</u><u /> <u>d</u><u>+1</u>, <u>d</u><u>+2</u>, <u>d+3</u><u>,</u> <u>d</u><u>+3</u>, <u>d</u><u>+3</u>, <u>d</u><u>+4</u>, <u>d</u><u>+5</u>, <u>d</u><u>+5</u>, <u /><u /><u>d</u><u>+6</u><u /><u /> and <u>d</u><u>+6</u>.  This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).  
For leap years, every month after February would change, so we have (in the order of the months) <u></u><u>d</u>, <u>d</u><u>+3</u>, <u>d</u><u>+4</u>, <u>d</u><u />, <u>d</u><u>+2</u>, <u>d</u><u /><u>+5</u>, <u>d</u><u />, <u>d</u><u>+3</u>, <u>d</u><u /><u>+6</u>, <u>d</u><u>+1</u>, <u>d</u><u>+4</u>, a<u />nd <u>d</u><u>+</u><u /><u /><u>6</u>.  We still have every day of the week represented, so there is a Friday the 13th at least once.  Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.<u />
5 0
3 years ago
Other questions:
  • What's 10x-12y+8+12y Simplified when combining like terms.
    8·1 answer
  • Nth term of sequence 1.5 3 4.5 6 7.5
    7·1 answer
  • The price of a cantaloupe at a fruit stand goes up 4 cents each month. The first month the stand was open, a cantaloupe cost $1.
    13·2 answers
  • Complete the point slope equation of the line through
    8·2 answers
  • Which expression is equivalent to 2x + x^2 + 3x + 5x^2 - 10x?
    15·2 answers
  • A car travels 120 miles in 3 hours (with a constant spee
    8·2 answers
  • As shown in the diagram below, the radius of a cone is 2.5 cm and its slant height is 6.5 cm
    9·1 answer
  • Pets Plus and Pet Planet are having a sale on the same aquarium. At Pets Plus the aquarium is on sale for 30% off the original p
    14·1 answer
  • If f(x) = 5x + 40, what is f(x) when x = -5?<br> 0-8<br> 0.7<br> O 15
    13·1 answer
  • If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!