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
vitfil [10]
2 years ago
11

Two containers designed to hold water are side by side, both in the shape of a

Mathematics
1 answer:
nydimaria [60]2 years ago
7 0
Volume = pi x radius^2 x height
Cyl A = pi x 6^2 x 16
= 1809.6 cu ft
Cyl B = pi x 8^2 x 13
=2613.8 cu ft

You pumped 1809.6 from A to B so volume of water in B is 1809.6 cu ft
Question doesn’t say if B was empty to start?
You might be interested in
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
If a bracelet takes 5/6 foot of string how much string will it take to make 12 bracelets
const2013 [10]
5/6 x 12


60 / 6  = 10

It takes 10 feet of string to make 12 bracelets.

3 0
3 years ago
My victory will be in your hands if you answer this ✌✌✌✌✌
Julli [10]

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

7 0
2 years ago
Read 2 more answers
2/7 find the reciprocal
Mars2501 [29]
7/2 is the reciprocal of 2/7
7 0
3 years ago
Read 2 more answers
Write the decimal in standard form. 11-16<br> giving out 5 stars and thanks if its right!
alina1380 [7]

Answer:

11. 67.103

12. 7.25

13. 210.36

14. 10.5

15. 2.348

16. 72.2

hope that helps

5 0
2 years ago
Other questions:
  • What is domain and range of f(x) = -37
    8·1 answer
  • Kwan bought three rolls of regular wrapping paper with 6.7 square meters of paper each.He also bought a roll of fancy wrapping p
    10·1 answer
  • What is not a common factor for the two fractional terms Two-thirds x y andStartFraction 10 over 3 EndFraction x
    10·2 answers
  • 1 quart of water 1 pint of juice and 9 ounces of honey equals how much total pints, cups, and ounces
    9·1 answer
  • A botanist predicts that the height of a certain tree will increase by 2% every year. If the height of the tree is now 50 feet,
    12·1 answer
  • 6th grade math help this is usually easy for people !
    11·1 answer
  • If line a is parallel to line c, and line c is parallel to line f, and lines c and f are different lines, which of the following
    13·1 answer
  • Solve the equation x^4-64=0
    9·1 answer
  • Please does anyone know the answer to this??
    14·2 answers
  • What is forty five plus ninety ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!