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
lana [24]
3 years ago
10

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

as the shape of a square with sides of length 4 cm, and the height is 12 cm. Find the rate at which the water level is rising when the water level is 4 cm.
Mathematics
1 answer:
UNO [17]3 years ago
5 0

Answer:

\frac{225}{16} cm/s

Step-by-step explanation:

We are given that

\frac{dV}{dt}=25cm^3/s

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid=\frac{1}{3}lwh=\frac{1}{3}l^2h

\frac{l}{h}=\frac{4}{12}=\frac{1}{3}

l=\frac{1}{3}h

Substitute the value

V=\frac{1}{27}h^3

Differentiate w.r.t t

\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}

Substitute the values

25=\frac{1}{9}(4^2)\frac{dh}{dt}

\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s

You might be interested in
A farm is 5 ha in size it is 1000 by
julia-pushkina [17]
Your answer is 200 please give me a rate and thanks ;)
3 0
3 years ago
Read 2 more answers
Help me please :) thanks
Fiesta28 [93]

Answer:

20 and 90

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
if a turtle can move 1/7 of a mile every hour, then how many hours would it take for a turtle to go 5 miles?
Lyrx [107]

Answer:

35 hours

Step-by-step explanation:

1 mile would be 7 hours- 7x5=35

6 0
2 years ago
The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)
Art [367]
Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r.  The general form of the equation for a circle is (x-h) ^{2} +(y-k) ^{2} = r^{2}.  We will fill in accordingly: (5-3) ^{2}+(4-2) ^{2} = r^{2}.  Solve for r to get that r= \sqrt{8}
4 0
3 years ago
Solution of 4/5 + 2/3
xxMikexx [17]

Answer:

\frac{22}{15}

Step-by-step explanation:

\frac{4}{5}+\frac{2}{3}

Adjust based on LCM (15):

=\frac{12}{15}+\frac{10}{15}

=\frac{12+10}{15}

=\frac{22}{15}

8 0
3 years ago
Other questions:
  • Find the value of this expression if x=4 x^2-4/x-8
    6·1 answer
  • What is the definition of csc θ ?
    14·1 answer
  • Which expression could be used to model the total cost for producing ballon banquets
    6·1 answer
  • The polynomial -2x^2+500x represents the budget surplus of the town of alphaville. Betaville's surplus is represented by x^2-100
    7·1 answer
  • Use iteration to determine the real zeros, the the nearest tenth.
    11·1 answer
  • Omg someone PLEASE help
    12·1 answer
  • Find the midpoint of the line segment joining the points (10,14) and (-7,7).
    8·1 answer
  • Someone help 9th grade math i will give brainliest
    15·1 answer
  • What times what gives you 15 but when added gives you 8?
    10·2 answers
  • Can someone help me please and thank you :)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!