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
VashaNatasha [74]
2 years ago
8

The cylinder in a sphere have the same radius for the height of the cylinder is equal to the diameter of the spear select the ex

pression that describes the volume of the cylinder that is not occupied by the sphere
Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

The volume of the cylinder that is not occupied by the sphere is 2πr³/3

Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.

<h3>What is volume of a cylinder?</h3>

The volume of a cylinder is given by V '= πr²h where

  • r = radius of cylinder and
  • h = height of cylinder.

Since the height of the cylinder equals the diameter of the sphere, h = 2r

So, V' = πr²h

V' = πr² × 2r

V' = 2πr³

<h3>What is volume of sphere?</h3>

The volume of a sphere of radius r is given by V = 4πr³/3

<h3>Volume of cylinder not occupied by sphere</h3>

The volume of the cylinder not occupied by the sphere is V" = V' - V

=  2πr³ - 4πr³/3

= (6πr³ - 4πr³)/3

= 2πr³/3

So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3

Learn more about volume of cylinder here:

brainly.com/question/27535498

#SPJ1

You might be interested in
Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Fac
skad [1K]

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)

6 0
3 years ago
9 is 25% of what number?
Black_prince [1.1K]

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

4 0
3 years ago
How many time does 3 go into 20?
ASHA 777 [7]

Answer:

6 times.

Step-by-step explanation:

6x3=18

20-18=2

hope this helps ! </3 ~ alyssa

7 0
3 years ago
Read 2 more answers
PLEASE HELP THANK YOU SO MUCH
FinnZ [79.3K]
As you can probably tell, this is a 30, 60, 90 triangle. That means the degree measures are 30, 60, and 90. These are special triangles. For every 30, 60, 90 triangle in the world, the shorter leg (in your case, x) is ALWAYS two times shorter than the hypotenuse (6). 6/2=3, so x=3. Also, the longer leg for a 30, 60, 90 triangle is always equal to the shorter leg times the square root of 3. So, 3 times the square root of 3 is about 5.2. So, y=5.2. Hope it helps!
4 0
3 years ago
A science class has 3 girls and 3 boys in the seventh grade and 5 girls and 3 boys in the eighth grade. The teacher randomly sel
Andre45 [30]
If your teacher was to randomly pick it would be 2:14
3 0
4 years ago
Other questions:
  • There are 18 people waiting in the bus queue. Half of them are going to Langdale How many people are going to Langdale
    8·2 answers
  • The product of the slopes of perpendicular lines is −1. Which function represents a line that is perpendicular to y = −6x + 7?
    6·2 answers
  • What the hell! I’m too stupid for this
    7·2 answers
  • Solve for s in the proportion.<br> s=<br> Submit<br> 40/30=8/s
    11·1 answer
  • Dimensional analysis: How many atoms are in a kilogram of silver, if there are 6.02 x 10^23 atoms per mole and silver weighs 107
    14·1 answer
  • What is 13,507,804 in word form?
    11·2 answers
  • What are the approximate solutions of 2x^2+9x=8 to the nearest hundredth
    6·2 answers
  • Based on the information in the diagram, what is the length of side b?
    10·1 answer
  • What is the value of 3ab+5b-6 when a=1 and b = 3
    12·1 answer
  • Can someone plss help me with this!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!