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
hram777 [196]
3 years ago
6

Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and the sides of the c

ylinder. The diameter of each ball is 13 cm.

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

a. 5177 cm³

b. 3,451 cm³

c. 67%

Step-by-step explanation:

Given:

Diameter of each ball (d) = 13 cm

Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm

Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm

a. Volume of cylinder = πr²h

Plug in the values

Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³

b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)

Plug in the value

Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³

c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100

Plug in the values

= 3,451/5177 × 100

= 66.6602279

≈ 67%

You might be interested in
Evaluate the expression when a=10,b=9, and c=4.<br> 3a+2b−6c =
pav-90 [236]

Answer:24

Step-by-step explanation:

Multiply 3 times ten, 2 times 9, and 6 times 4 and solve you get 24

6 0
3 years ago
Which one is greater 1.02 1.29 or 1.202?
Radda [10]
1.29 is the greatest
3 0
4 years ago
Read 2 more answers
in a recent season NASCAR driver Jimmie Johnson won 6 of the 36 total races held to the nearest thousand ,find the part of races
castortr0y [4]
So, the fraction of races that he won was:

\frac{6}{36} : you need ti divide the number of occurrences by the number of possibilities.

We can simplify this:
\frac{1}{6}.

When we write it in decimals until the closest place, it's:

0.167 or 16.667%


5 0
3 years ago
Read 2 more answers
Simplify each expression. Use positive exponents. <br> A^4b^-3<br> ab^-2
choli [55]
\dfrac{a^4b^{-3}}{ab^{-2}}

= {a^{4-1}b^{-3+2}}

= {a^{3}b^{-1}}

= \dfrac{a^3}{b}


6 0
3 years ago
Read 2 more answers
Find the product.<br><br> (-3ab2)3<br><br> -27 a3b6<br> -9 a3b5<br> -23 a2b2<br> 27 ab
7nadin3 [17]

Answer:

a) -27 a³ b⁶

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given ( -3 ab² )³

By using  (ab )ⁿ = aⁿ bⁿ      

   ( -3 ab² )³ = (-3)³ a³ (b²)³

Again , using formula   (a^{m} )^{n} = a^{mn}

                    =   -27 a³ b⁶

6 0
3 years ago
Other questions:
  • I need help on this question thanks..
    10·1 answer
  • What number is greater 5 or 5.01
    10·1 answer
  • What times what equals 162
    13·1 answer
  • Find the sum of the second multiple of 9 and the fifth multiple of 6.​
    10·1 answer
  • Which matrix does not have an inverse
    8·1 answer
  • Line segment AB has endpoints A(0, 3) and B(2, 2). What is the midpoint of<br> line segment AB?
    8·1 answer
  • Find the values of x and y in the diagram.
    9·1 answer
  • HELP
    12·1 answer
  • What is x=5/2 plz answer
    14·2 answers
  • An equation of a line perpendicular to the line represented by the equation y = -
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!