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
What is the length of EF ?<br> A. 8 pi<br> B. 4 pi<br> C. 2 pi<br> D. Pi
Pani-rosa [81]
I think the answer is B
5 0
2 years ago
Please help me on this i will give you brainliest
ludmilkaskok [199]

Answer:

146°

Step-by-step explanation:

Blue angle: 34°: 180 (sum of angles in a triangle) - 92 - 54 = 34

x = 180 (flat angle) - 34 = 146°

Please give me Brainliest :)

7 0
3 years ago
Read 2 more answers
What is the answer?1 2 3 4
Vesna [10]

Answer:

x = 52

Step-by-step explanation:

Vertical angles are angles that are opposite from each other.

According to the vertical angles theorem, vertical are are congruent. Therefore, if the angles opposite of x is 52 degrees, angle x also equal 52 degrees.

8 0
3 years ago
For the equation y=5 + 6x, what does y equal when x is 4? Will mark brainliest
emmasim [6.3K]

Answer:

y=29

Step-by-step explanation:

y=5+6(4)

y=5+24

y=29

BRAINLIEST PLZ

8 0
3 years ago
Read 2 more answers
What is the answer to r - 4.5 &lt; 11
Cloud [144]
R - 4.5 < 11
—
r would be 15.5
[ r = 15.5 ]
5 0
2 years ago
Other questions:
  • Assume f(x) = g(x). Which of the following two functions may be used to represent the function 3x = x – 4? *
    13·1 answer
  • 7 1/8 x 2 as a mixed number in simplest form
    14·2 answers
  • A ruby throated humming bird flaps its wings 159 times in three seconds. How many times does the ruby throated humming bird beat
    5·1 answer
  • What type of equations are equivalent to (1/2) 3
    12·1 answer
  • Solve 2x-3/5=x+6 ASAP
    12·2 answers
  • Somebody helppppp pleassse
    5·1 answer
  • 3.
    15·1 answer
  • A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine
    12·1 answer
  • Mr. Vedra deposited $1,200 in a certificate of deposit (CD) at an interest rate of 5.5%. He earned $198 in simple interest. How
    12·1 answer
  • Please help solve this please thank youuuuuu
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!