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
emmainna [20.7K]
3 years ago
8

A conical tank is 8 meters high. The radius of the top is 2 meters. At what rate is the water running out if the depth is 3 mete

rs and is decreasing at the rate of 0.4 meters per minute
Mathematics
1 answer:
lina2011 [118]3 years ago
3 0

Answer:

DV/dt    = 0,2355 m³/min

Step-by-step explanation:

Conical tank volume    V  =  1/3 *π*r²*h

r radius at the top    2 meters

when depth of water is 3 meters the radius of the level of water is:

let     α  angle of vertex of cone then

tan∠α   = 2/8        tan∠α   = 1/4         tan∠α  = 0,25

At the same time when water is at 3 meters depth  radius is

tan∠α  = r/3             0,25*3= r         r  = 0,75 m

Now

DV/dt    =  (1/3)*π*r²*Dh/dt            

Dh/dt  =  0,4 meters/min

By substitution

DV/dt    = 0,2355 m³/min

You might be interested in
A square piece of carpet has a length of 45 cm. What is the area of the piece of carpet?
jek_recluse [69]
The area is 2025cm^2
6 0
3 years ago
Read 2 more answers
If i just completed my daily Mindkeeper five-kilometer training run, how many meters did I run
galina1969 [7]

Answer:

5000

Step-by-step explanation:

5 0
3 years ago
Por favor alguien sabe cuál es. soy un número de 5 dígitos. Mi dígito de las decenas es la suma de mi cientos dígitos y miles de
mixas84 [53]

<span>47184. 
</span>
<span>Así que la suma de los cientos y miles será dos veces el dígito de las unidades . Miles ( 7 ) + cientos ( 1 ) = 8. 8 es dos veces más que el dígito de las unidades ( 4) de los miles de diez dígitos es el mismo que el de un dígito es así, esto hace que los miles a decenas 4 también .
</span>
(No escribo bien en espanol pero te lo traslatide jaja. dame un messaje si no todavia no entiendes) 
5 0
3 years ago
Please help me! Thank you! (x^2 + 2x -3)(4x^2 - 5x + 6)
gavmur [86]
Combine the like terms. 
4x^4+3x^3-16x^2+27x-18
5 0
3 years ago
HELP PLEASE I WILL GIVE 100 POINTS TO WHOEVER GIVES ME THE RIGHT ANSWER​
Dovator [93]

Answer:

44°

Step-by-step explanation:

Note that the square in located to the left of the two given intersecting lines denotes that it is a right angle, in which the measurements is 90°.

This means that:

∠α + ∠β = 90°

Let:

m∠α = x

m∠β = 46°

Plug in the corresponding numbers and variable to the given terms:

x + 46 = 90

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 46 from both sides:

x + 46 (-46) = 90 (-46)

x = 90 - 46

x = 44

x = 44° is your answer.

~

8 0
2 years ago
Read 2 more answers
Other questions:
  • If a fair coin is tossed 4 times, there are 16 possible sequences of heads (H) and tails (T). Supposethe random variable X repre
    15·1 answer
  • What is the difference between 1/2 and 1 whole?
    15·2 answers
  • A circle drawn on a coordinate plane has the equation x2+y2−6x+16y+50.4375=0 . Part A: What is the center of this circle? Expres
    13·1 answer
  • If you assume that a pair of rabbits produces 6 offspring and that half are male and the other half female and each pair breeds
    15·1 answer
  • If 5 children share 152 sweets equally, how many sweets will remain?
    15·2 answers
  • 3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then<br><br> find AB
    10·1 answer
  • There are 6 bananas in a bunch and 4 monkeys want to share them
    11·1 answer
  • If (x + 7) is a factor of f(x), what is the value of f(-7)?
    12·1 answer
  • What is the perimeter of kite WXYZ?
    6·1 answer
  • Give the x and y intercepts: x+3y=24
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!