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
prisoha [69]
3 years ago
5

An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second. The pyramid, at the top, h

as the shape of a square with sides of length 6 cm, and the height is 13 cm. Find the rate at which the water level is rising when the water level is 4 cm.
Chemistry
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:

13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.

Explanation:

Length of the base = l

Width of the base  =  w

Height of the pyramid = h

Volume of the pyramid = V=\frac{1}{3}lwh

We have:

Rate at which water is filled in cube = \frac{dV}{dt}= 45 cm^3/s

Square based pyramid:

l = 6 cm, w = 6 cm, h = 13 cm

Volume of the square based pyramid = V

V=\frac{1}{3}\times l^2\times h

\frac{l}{h}=\frac{6}{13}

l=\frac{6h}{13}

V=\frac{1}{3}\times (\frac{6h}{13})^2\times h

V=\frac{12}{169}h^3

Differentiating V with respect to dt:

\frac{dV}{dt}=\frac{d(\frac{12}{169}h^3)}{dt}

\frac{dV}{dt}=3\times \frac{12}{169}h^2\times \frac{dh}{dt}

45 cm^3/s=3\times \frac{12}{169}h^2\times \frac{dh}{dt}

\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times h^2}

Putting, h = 4 cm

\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times (4 cm)^2}

=13.20 cm/s

13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.

You might be interested in
I need help with this question please!!
mariarad [96]
The answer is B

Hope this helped. Good luck!
3 0
3 years ago
a chemist is studying an unknown substance he can break it into its elemental only by using chemical means.Based on this observa
Vanyuwa [196]

Answer:

Compound

Explanation:

We want to know if it's a compound or a mixture.

An example of a mixture is salt water: you can heat it hot enough to boil off the water, leaving only the salt. This is a physical change, which is how you know it's a mixture.

Something like gold is a compound: if you heat it, or hit it, you'll still only have gold. You can only break it down by chemical means, which is how you know it's a compound.

4 0
3 years ago
When a 0.680 g sample of olive oil is burned in a calorimeter, the heat released increases the temperature of 370 g of water fro
Lena [83]

Answer:

the energy value of the olive oil kJ/g = 36.880 KJ/g

Explanation:

we can calculate energy gained by the water which generated by the reaction from this formula :

Q = mc∆t

where:

m is the mass of water= 370 g

c specific heat of water = 4.184 J/g·°C  

∆t is the change or difference in temperature in °C = 38.9 - 22.7 = 16.2 °C

by substitution:

Q = 370g * 4.184 J/g.°C* 16.2°C

   = 25078.896 Joule

the energy value of the olive oil = Q / mass of olive oil

                                                     = 25078.896 Joule/ 0.68 g

                                                     =36880 J/g

                                                      = 36880 / 1000 = 36.880 KJ/g

6 0
3 years ago
TRUE or FALSE: The only way to see a recessive trait is to inherit 2 recessive<br> alleles.
Snezhnost [94]

Answer:

false it's more than two

5 0
3 years ago
Hi! I need help on 1-4 ASAP! Thanks!​
Aliun [14]

Answer:

5. a. false b. true c. false d. true e. false

6. it has to be something that can be supported or refuted through carefully crafted experimentation or observation

6 0
4 years ago
Other questions:
  • White light, which consists of all frequencies, forms which type of spectrum? an absorption spectrum a line spectrum an emission
    9·1 answer
  • 8. which change in state is associated with the heat of vaporization,
    5·1 answer
  • in a school’s laboratory, students require 50.0 mL of 2.50 M H2SO4 for an experiment, but the only available stock solution of t
    14·2 answers
  • Which of the following statements is true?
    7·1 answer
  • A standard solution contained 0.8 mg/mL. A student took 2 mL of the standard solution and added 10 mL of water. What is the new/
    15·2 answers
  • If you start with 1.5 moles of H2O, how many moles of H4SiO4 do you make?
    10·1 answer
  • Asap worth 20 points
    10·1 answer
  • 1s22s22p63s23p64s13d10 which element is this
    12·1 answer
  • Blank a long narrow Stepside value that forms the deepest part of the ocean ​
    11·1 answer
  • 2Al+3Cl2---&gt; 2AlCl3 (i cant remember if this is balanced equation or not if not can you do that too? thank you i appreciate i
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!