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
daser333 [38]
2 years ago
10

Need step by step explanation please.

Mathematics
1 answer:
ryzh [129]2 years ago
4 0

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

You might be interested in
If you divide a number by its square , would the quotient be smaller than the original number ?
Luden [163]

yes because its the square root. hope it helps

4 0
3 years ago
Yeah I know pretty easy I’m just lost so can anyone help put
alekssr [168]

Options A,C,D and E are the correct answers

5 0
3 years ago
Which word is the conjunction in this sentence?
emmasim [6.3K]
A conjunction is a word that joins words or phrases. <em>For, and, nor, but, or, yet, so...</em>The conjunction in this sentence would be and.

(<em>most</em> is an adverb, <em>wow</em> is an interjection, and <em>of</em> is a preposition)
3 0
4 years ago
What is 1/5 + 2/3 + 4/15?
horsena [70]
To solve this you would need to make all fractions like fractions and when you do this you should get 1 1/15
4 0
3 years ago
Read 2 more answers
For which values of a the system has at least one solution: x≤7 x≥a urgent pls help now
allochka39001 [22]

Answer:

We have the system:

x ≤ 7

x ≥ a

Now we want to find the possible values of a such that the system has, at least, one solution.

First, we should look at the value of a where the system has only one solution:

We can write the 2 sets as:

a ≤ x

x ≥ 7

So, writing both together:

a ≤ x ≤ 7

if a is larger than 7, we do not have solutions.

then a = 7 gives:

7 ≤ x ≤ 7

Here the only solution is 7.

Now, if a is smaller than 7, for example 5, we have:

5 ≤ x ≤ 7

Now x can take different values, so we have a lot of solutions.

Then the restrictions for a, such that the system has at least one solution, is:

a ≤ 7.

6 0
4 years ago
Other questions:
  • The perimeter of a rectangle is 34 units. Its width is 6.5 units.
    6·1 answer
  • Dwight has 3 baseball cards, and Ellis has 9 baseball cards. If Dwight and Ellis put their baseball cards together and then divi
    8·2 answers
  • Your schools talent show will feature 12 solo acts and ensemble 2 acts. The show will last 90 min. The 6 solo performers judged
    9·1 answer
  • What is the correctly result for 2+(3-4)*9
    15·1 answer
  • Solve:<br> 2/3x+15=17<br><br> 3x+8-x=7<br><br> 4(2x-6)=2
    6·1 answer
  • Pleaseeeee help There was a sample of 200 mg of radioactive substance to start a study. Since then, the sample has decayed by 4.
    12·1 answer
  • 2³+b²+3²=?hihihihihihihi
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7Bx%20-%20r%7D%7Bx%20%2B%20r%3F%7D%20find%20%5C%3A%20the%20%5C%3A%20subje
    6·1 answer
  • A bus company charges $1.35 a kilometre for chartering a bus. Each bus can transport a maximum of 54 students. Assuming that the
    11·2 answers
  • Select the correct answer.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!