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
marysya [2.9K]
3 years ago
14

You are filling up a cylindrical tank with a radius of 5m with water at a rate of 3 cm^3/min. Unbeknownst to you the tank has a

hole and is leaking at a rate of 1 cm^3/min.
How fast is the height of the water increasing?
The volume of a cylinder V = πr^(2)h.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

dh/dt = 3/25π m/min

Step-by-step explanation:

Radius = 5m

Rate (dV/dt) = 3 cm^3 / min

Leaking rate = 1 cm^3 / min

Volume = πr^2h

Volume = π(5)^2h

V= 25πh

Differentiate volume implicitly with respect to time

dV/dt = 3 cm^3/min

3 = 25π(dh/dt)

dh/dt = 3 m^3/min /25πm^2

dh/dt = 3/25πm/min

You might be interested in
I need to know the answer I’m working on rational numubers
lesya [120]

Answer:

Fraction Form: \frac{11}{24}

Decimal Form: 0.4583

Step-by-step explanation:

Apply the fraction rule: \frac{-a}{b} = - \frac{a}{b}

\frac{-5}{12} = - \frac{5}{12}

- \frac{5}{12} + \frac{7}{8}

Least Common Multiple (LCM) of 12 and 8: 24

- \frac{5}{12} x  \frac{2}{2} = - \frac{10}{24} \\\\\frac{7}{8} x  \frac{3}{3} = \frac{21}{24} \\\\- \frac{10}{24} + \frac{21}{24}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c}= \frac{a + b}{c}\\\\\frac{-10 + 21}{24} \\\\-10 + 21 = 11\\\\\frac{11}{24}

3 0
2 years ago
Make x the subject of y=3x-2
zimovet [89]

Answer:

To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve -3x+y=-7 by slope intercept form
marin [14]

can u add picture?

if u dont add picture i cant solve sorry...

8 0
3 years ago
Need help with homework please
torisob [31]

4. (9x^2 + 13x) + (4x^2 - 8x)

(9x^2 + 13x)

9x^2 = 81 x + 13 x = 94x

(4x^2 - 8x)

4x^2 = 16x - 8x = 8x

94x + 8x = 102x

The answer is 102x



5. (x^2 + 4x + 6) + (x^2 + 8x + 3)

(x^2 + 4x + 6)

4x + 6 = 10x

10x + x^2 = 10x^2

(x^2 + 8x + 3)

8x + 3 = 11x

x^2 + 11x = 11x^2

The answer i 11x^2




6. (-3x^2 + 2x - 8) + (x^2 + 4x)

(-3^2 + 2x + 8)

-3^2 = 9

2x + 8 = 10x

10x + 9 = 19x

(x^2 + 4x)

x^2 + 4x = 4x^2

19x + 4x^2 = 23x^2

The answer is 23x^2.


7 0
3 years ago
What is pie minus 6 plus 50<br>​
Natasha_Volkova [10]

Answer:

pie is about 3.14

3.14 - 6 = -2.86

-2.86 + 50 = 47.14

<em><u>47.14</u></em>

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 12c - 4 = 14c - 10<br><br> c = ?<br><br> !!!
    6·1 answer
  • 1 1/2× 3/4 please answer
    6·2 answers
  • What property is illustrated by 5*6=6*5
    11·2 answers
  • 2) (1, -5), (7,-3)<br> (1,-5),(7-3)
    7·1 answer
  • A student buys a selection of drinks and hamburgers for their friends at a football game. If the student bought 10 items in tota
    9·1 answer
  • I NEED HELP!!!!
    13·1 answer
  • Use a calculator to find the trigonometric ratio to four decima place tan 23​
    9·1 answer
  • M/6-7=2/3 pls help plssssd
    11·1 answer
  • I need help with this??
    14·1 answer
  • How do you get -2 using 2,3,and 4
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!