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
GaryK [48]
3 years ago
7

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

l is 14.14 in3. The volume of the can is 56.55 in3. The empty space inside the can is 14.13 in3. The volume of three tennis balls is 42.42 in3.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

You might be interested in
What is a coordinar plane
Mars2501 [29]
The plane<span> determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the </span>coordinate plane<span> can be specified by an ordered pair of numbers.</span>
8 0
3 years ago
Convert 5.100 × 10-3 to ordinary notation.<br> a.0.0005100<br> b.0.005100<br> c.510.0<br> d.5100
kondor19780726 [428]
5.100 x 10⁻³ = 5.100 x 0.001
                    = 0.005100      (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

           0.0051
         ---------------
1000 | 5.100
           5000
           -------------
              1000
              1000
            
This yields the same result.

Answer: b. 0.005100
4 0
3 years ago
16 ÷ 8 = 2
hjlf
The answer is D. 2 x 8= 16
3 0
3 years ago
Read 2 more answers
What is Simplify 3^-2 • 3^5
galina1969 [7]

Answer: 3^5 / 3^(-2) = 3^(3)

4 0
3 years ago
Suppose f(x) =6x second power-4, what is f(-1)?
meriva

Answer:

f(-1)=6×(-1)^-4=6/(-1)^4=6/1=6

8 0
3 years ago
Read 2 more answers
Other questions:
  • You are shopping at a department store and all items currently are being sold at full price. You discover that next week the dep
    15·2 answers
  • Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3.4 inches. The second lengt
    6·1 answer
  • Margie made $311.85 last week. if she makes 8.10 an hour how many hours did she work last week
    9·2 answers
  • Please need help ASAP!!! Answer and I’ll name you brainliest.
    12·1 answer
  • Can repeating decimals be written as a fraction?
    13·1 answer
  • Write 2050000 in scientific notation( with exponents)
    14·2 answers
  • Determinati nr nat a b si c stiind ca a+b +c+d=20. A:b=0. C+d=1. D:=2
    6·1 answer
  • Which polynomials are in standard form?
    8·1 answer
  • I am confused with this word problem.
    12·1 answer
  • HELP WILL GIVE BRAINLY PLZ DONT SKIP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!