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
Thepotemich [5.8K]
3 years ago
14

A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid of altitude 25 feet and base ed

ge 10 feet. By how much will the surface rise when 6,779 liters of water is added?
Mathematics
2 answers:
mr_godi [17]3 years ago
8 0

Answer:

\text{Surface area } = 265.14\ ft^2

Step-by-step explanation:

A liquid vessel in the form of an inverted regular hexagonal pyramid.

Altitude of pyramid, h = 25 feet

Base edge of pyramid, a = 10 feet

\text{Volume of Pyramid}=\dfrac{\sqrt{3}}{2}a^2h

A liquid vessel contain maximum volume =\dfrac{\sqrt{3}}{2}\cdot 10^2\cdot 25=2165\ ft^3

Change cubic foot to liter

1\ ft^3 = 28.32\ liter

2165\ ft^3 = 61307.67\ liters

A vessel fill 6,779 liters of water.

6779 lt = 239.398 ft³

Therefore, 239.398=\dfrac{\sqrt{3}}{2}\cdot 10^2h

h=2.764\ ft

Surface area rise, a = 10 ft , h = 2.764 ft

\text{Surface area } = 3a\sqrt{h^2+\dfrac{3a^2}{4}}

\text{Surface area } = 3\cdot 10\sqrt{1.764^2+\dfrac{3\cdot 10^2}{4}}

\text{Surface area } = 265.14\ ft^2

Hence, The surface rise when 6,779 liters of water is added to vessel will be 265.14 ft^2

Misha Larkins [42]3 years ago
6 0
<span>Since: v =sqrt(3)/2 s^2h 

6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft 
but by proportion s/h = 10/25 
s = 10/25 h 
and v = sqrt(3)/2 (10/25 h)^2 h 
239.299 = 0.139 h^3 

h = (239.299/0.139)^(1/3) = 11.985 ft</span>
You might be interested in
Math!! please helpp!!!
VladimirAG [237]

Answer:

C

Step-by-step explanation:

The exact point should be (0, 4) if you're looking for the Y intercept. I'm assuming that each square represents one unit. Hope I could help.

5 0
1 year ago
Read 2 more answers
If a bicyclist traveled at 8:am to 8:18am a distance of 4.5 miles and from 8:18am to 8:45am a distance of 7.5 miles .What is the
Vinil7 [7]

8 am at 0

8:18 at 4.5

8:48 at 7.5 miles ???

18 min = .3 hour

48 min = .8 hour

in first .3 hours speed = 4.5/.3 = 15 mph

in next .5 hours = speed = 3/.5 = 6 mph

average speed for the whole trip = 7.5 miles/.8 hours = 9.375 mph

3 0
2 years ago
For what value of x must ABCD be a​ parallelogram?
bija089 [108]

5x = 6x-7

subtract 6x from each side

-x=-7

x=7


8 0
3 years ago
Read 2 more answers
Solve 1-12 or any of them please.
ladessa [460]
1. y = 4x - 3
2. y = -x + 4
3. y = 1/3x +1
4. y = ----
5. y = 1/7x + 2
6. y = -4x + 2.75
7. y = 3x + 5
8.
9.
10.
11.
12.

3 0
3 years ago
Read 2 more answers
Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.
ivanzaharov [21]
W = 59
x = 121
y = 59
z = 53
v = 121
4 0
3 years ago
Other questions:
  • What common angle do acd and abe share
    11·2 answers
  • Simplify −4√−48<br> Help , please ?
    15·1 answer
  • 3 discounts of30% ,35%, and 20% are applied to an item what will be thetotal percent markdown?
    7·1 answer
  • What is Eight and fifty-nine thousand in standard form?
    11·1 answer
  • A 96 ​-inch board is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
    8·1 answer
  • The difference of twelve times a number and nine times a number
    12·2 answers
  • Can somebody help me with this !!!!!!!thanks
    10·1 answer
  • ⚠ 25 POINTS AND BRAINLIESTTT ⚠
    15·2 answers
  • Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages
    8·1 answer
  • I need help I’m stuck
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!