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
WARRIOR [948]
3 years ago
14

A Social welfare association decides to supply drinking water for the flood affected people. The drinking water is filled in a c

ontainer which is in the shape of a cylinder with a hemispherical end as shown in the figure. The whole length of the tanker is 4.2 metre and the diameter of the base if the cylinder and two hemispheres are each 1.2 metre. If they distribute drinking water to 60 people in a container, each is in the shape of a cylinder of radius 21 cm, find the quantity of water left in the tanker after distribution in litre.(use π = 22/7)
​

Mathematics
2 answers:
pickupchik [31]3 years ago
7 0

Answer:

1,499 liter

Step-by-step explanation:

The rest of the question is:

each is in the shape of a cylinder of radius 21 cm and height is 50 cm.

==============================================================

The quantity of water left in the tanker after distribution

= Total quantity - Distributed quantity

Total quantity = Volume of the giving figure

                       = Volume of the cylinder + volume of 2 hemispheres

Volume of the cylinder of 4.2 m length and 1.2 m of a diameter.

L = 4.2 and radius = r = 0.5 * diameter = 0.5 * 1.2 = 0.6

Volume of cylinder = π r² L = (22/7) * 0.6² * 4.2 = 4.752 m³

Volume of 2 hemispheres = 2*0.5 * (4/3) π r³ = (4/3) * (22/7) * 0.6³

                                           =792/875 m³

Total volume = 4.752 + 792/875 = 198/35 ≈ 5.657 m³

Distributed quantity = 60 times the volume of a cylinder of radius 21 cm and height is 50 cm

Distributed quantity = 60 * π r² L = 60 * (22/7) * 21² * 50 = 4,158,000 cm³

Since 1 m³= 1,000,000 cm³

Distributed quantity = 4,158,000 cm³ = 4.158 m³

The quantity of water left in the tanker after distribution =

 = 198/35 - 4.158 ≈ 1.499 m³

Since 1 m³= 1,000 liter

The quantity of water left in the tanker after distribution =

  =  1.499 m³ = 1.499 * 1000 = 1,499 liter

bixtya [17]3 years ago
3 0

Answer:

142 liters

Step-by-step explanation:

The following information is missing:

"if they distributing drinking water to 60 people in a container each in shape of cylinder of radius 21 cm and height 50 cm"

If we subtract the two hemispheres, the length of the tank is 4.2 -1.2 = 3 m. The tank is composed by an sphere and a cylinder (with a diameter = 1.2 m). Then, its volume is

Volume of the tank =  π*D²/4*lenght + 4/3*π*D³/8

Volume of the tank =  22/7*1.2²/4*3 + 4/3*22/7*1.2³/8 = 4.3 m³

On the other hand, each small container is a cylinder of radius 0.21 m and height 0.5 m. Each one has a volume of:

Volume of the small container = π*r²*height

Volume of the small container = 22/7*0.21²*0.5 = 0.0693 m³

For 60 containers the total volume is 0.0693*60 = 4.158 m³

Then, the volume left in the tank after the distribution is 4.3 - 4.158 = 0.142 m³ or 142 liters

You might be interested in
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
denpristay [2]

Answer:

A

Step-by-step explanation:

Your mouse is in the way but that’s what I can tell by looking at the graph

3 0
2 years ago
Show work 29 points pls help
Tanzania [10]

Answer:

a

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportionality

Divide both sides by x

\frac{y}{x} = k

To find k use any ordered pair from the table

Using (2, \frac{5}{2} ) , then

k = \frac{2}{\frac{5}{2} } = 2 × \frac{2}{5} = \frac{4}{5}

7 0
2 years ago
1.3n-0.03=-9 (solve for n) grade lvl. 7
bazaltina [42]

Hello from MrBillDoesMath!

Answer:

-6.9


Discussion:  

1.3n - 0.03 = -9     =>              multiply both sides by 100

130n - 3 = -900 =>

130n = -900 +3 =  -897 =>     add 3 to both sides

n = -897/130  =>

n =  - (69 * 13)/ (10*13) =>

n = - 69/10 = - 6.9




Thank you,

MrB

4 0
3 years ago
Science pls answer I give brainliest
elena-14-01-66 [18.8K]

Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

4 0
3 years ago
How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the po
nasty-shy [4]

9514 1404 393

Answer:

  y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

  y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

  0 = a(4 -7)^2 +b   ⇒   9a +b = 0

  5 = a(1 -7)^2 +b   ⇒   36a +b = 5

__

Subtracting the first equation from the second, we have ...

  (36a +b) -(9a +b) = (5) -(0)

  27a = 5

  a = 5/27

Substituting that value into the first equation gives ...

  9(5/27) +b = 0

  5/3 +b = 0

  b = -5/3

So, the quadratic can be written in vertex form as ...

  y = (5/27)(x -7)^2 -5/3

4 0
3 years ago
Other questions:
  • 600 pages in 5 days. On the first day 148 pages read and each day after that he read the same number of pages p write an equatio
    12·2 answers
  • PLEASEEEE FACTOR THIS
    7·1 answer
  • What is 25.2<1.5y+1.2
    10·1 answer
  • Which of the following is the inverse of the relation {(1, 5), (2, 6), (1, 7), (4, 8)}? Select the correct answer below. A. {(1,
    13·1 answer
  • Which correlation coefficient best matches the data plotted on the graph?
    15·1 answer
  • Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship bet
    13·2 answers
  • Emma needs 2 pounds of ground meat to make meat loaf. She has one package with 2.36 pounds of ground meat and another package wi
    13·1 answer
  • Write in slope-intercept form an equation of the line that passes through the given points.
    7·1 answer
  • -Mondays 10 points<br> -Wednesdays 10 points<br> -Fridays 30points<br> -Sundays 10 points
    8·2 answers
  • Which expression represents "10 less than the product of 12 and 9"?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!