answer.
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
ella [17]
2 years ago
15

"A cylindrical canister contains 3 tennis balls. Its height is 8.75inches, and its radius is 1.5. The diameter of one tennis bal

l is 2.5. How much of the canister’s volume is unoccupied by tennis balls? Use 3.14 for π, and round your answer to the nearest hundredths place."
24.54in^3
37.28in^3
61.85in^3
7.56in^3
Mathematics
2 answers:
puteri [66]2 years ago
8 0
----------------------------------------------
Find Volume of 1 tennis ball:
----------------------------------------------
Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³

Volume of 1 tennis ball = 8.18 in³

----------------------------------------------
Find Volume of 3 tennis balls:
----------------------------------------------
Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³

----------------------------------------------
Find Volume of teh cylindrical canister:
----------------------------------------------
Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)

Volume of the cylindrical canister = 52.99 in³

----------------------------------------------
Find unoccupied space:
----------------------------------------------
Unoccupied space = 52.99 - 24.54

Unoccupied space = 28.45 in³

----------------------------------------------
Answer: 28.45 in³
----------------------------------------------


Aloiza [94]2 years ago
5 0
Volume of 1 ball
= 4/3 x pi x radius^3
= 4/3 x 3.14 x 1.5^3
= 14.13 inches cubed

volume of all 3 balls
= 14.13 x 3
= 42.39 inches cubed

volume of cylinder
= pi x radius^2 x height
= 3.14 x 1.5^2 x 8.75
= 61.81875 inches cubed

volume of unoccupied space
= volume of cylinder - volume of all 3 balls
= 61.81875 - 42.39
= 19.42875 inches cubed

volume of unoccupied space/volume of cylinder (as a percentage)
= 19.42875/61.81875 x 100
= 31.42857143...
= 31.43% (to nearest hundredths place)

so 31.43% of the canister's volume is unoccupied by tennis balls

hope this helps! :)
You might be interested in
Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

            (2x + 7) = 4

To Find :  how many bags he needs?

Solution :

(2x + 7) = 4

2x=-3

x=-\frac{3}{2}

Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

Substitute the value of x

B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

B=8.5

Hence 8.5 bags are needed.

3 0
2 years ago
HELP ASAP 40 POINTS REAL ANSWER
Jet001 [13]

Answer:

a)                      

b) number of flowers.  

c) 2830              

Step-by-step explanation:

We are given the following in the question:

The number of flowers bloomed is given by the function:

 

where s is the s is the number of seeds she planted.

The number of seeds planted per week is given by

where w represents the number of weeks.

a)  composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks.

The composite function can be written as:

where f(w) gives the number of flowers that bloomed in w weeks.

b)  units of measurement for the composite function

The composite functions gives the number of flower that will bloom in w weeks. Thus, the unit of measurement is number of flowers.

c) Number of flowers in 35 weeks.

We put w = 35 in the composite function.

2830 flowers will bloom in 35 weeks.

Thanks

Step-by-step explanation:

8 0
2 years ago
Is the following shape a square? How do you know?
svetlana [45]
The answer would be C. Hope this helps.
6 0
2 years ago
Read 2 more answers
Laila wants to create a data display to clearly show the median salary, the highest salary,
deff fn [24]

Answer:

a box plot

Step-by-step explanation:

Given the number of employees at her company is 685

If she chooses to create a dot plot, it means that she need to draw a lot, the total number of dots is 685 and even a wide domain of the number of data values on the x-axis.

If she chooses the box lot, which means that she wants to displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

=> So it is the best fit for her choice.

If she chooses histogram, it means that she wants to group numbers into ranges to identify  the underlying frequency distribution (shape) of a set of continuous data

Hope it will find you well

7 0
2 years ago
Read 2 more answers
which is a pair of dependent events? spinning a spinner one time and then spinning it a second time flipping a quarter and then
Sphinxa [80]
<h2><u>Answer and explanation:</u></h2>

Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.

Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.

Explanation:

Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.

So, this is the right answer.

Rest options are simultaneous one. They are not dependent in any way.

7 0
2 years ago
Read 2 more answers
Other questions:
  • For each of the three ionic compounds, select which main group X belongs to. a.)X3PO4 b.)CaX2 c.)X2(SO4)3
    10·1 answer
  • Charles is going to purchase a new car that has a list price of $21,450. He is planning on trading in his good-condition 2004 Do
    10·2 answers
  • Which statement is true about the graphs of the two lines y = –6 and x = ?
    11·2 answers
  • Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison conclud
    5·1 answer
  • The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
    15·1 answer
  • A bag holds 26 tiles, each marked with a different letter. What is the probability that one tile chosen at random is not a vowel
    10·2 answers
  • A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
    13·1 answer
  • The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm). A consumer h
    5·1 answer
  • Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The
    14·2 answers
  • Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!