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
givi [52]
3 years ago
11

A cylinder and a sphere have the same radius and volume. The height of the cylinder is 12 cm. What is the volume of the sphere r

ounded to the nearest whole number?
Pls help !
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

3054

Step-by-step explanation:

The formula for cylinder volume is

V1 = π * r^2 *h

while formula for sphere volume is  

V2= 4/3 *  π  * r^3

Since the height of the cylinder is 12, we can substitute h the equation into

V1 = π * r^2 *12

The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.  

V1= V2

π * r^2 *12 =  4/3 *  π  * r^3  

12 = 4/3 * r

r= 12*3/4

r=9

After we find the radius, we can find the sphere volume

V2= 4/3 *  π  * r^3  

V2= 4/3 *  π  * 9^3  

V2=  3053.62 = 3054

You might be interested in
Evaluate the function: f(-x)=x^2+9x-6
astraxan [27]

Answer:

f(-x) = x² - 9x - 6

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Functions

  • Function Notations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

f(x) = x² + 9x - 6

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                       f(-x) = (-x)² + 9(-x) - 6
  2. [Order of Operations] Simplify:                                                                    f(-x) = x² - 9x - 6
4 0
2 years ago
Which ordered pair in the form (X,Y) solution to this equation (x+y)y=10
Verizon [17]

Answer:

X=3

Y=2

Step-by-step explanation:

(3+2)2=10

If you use this, please give me brainliest

3 0
3 years ago
HOW DO YOU DO THIS????????
Nostrana [21]
The rational root theorem tells you all roots are of the form
  ±(factor of 2)/(factor of 3)
We know one of the roots is -1 and all roots are negative, so the remaining roots must be of the form
  -(factor of 2)/(factor of 3)
which is to say, two of
  -1/3, -2/3, -1, -2
Since the roots are distinct, they must be -2 and -1/3. Then the factorization of the given polynomial is
  (x +1)(x +2)(3x +1)
which multiplies out to be
  3x³ +10x² +9x +2

a = 10
b = 9
3 0
3 years ago
Find the value of: ​
nasty-shy [4]

Answer:

the value is 6

Step-by-step explanation:

substitue

5 0
3 years ago
In DEF the measure of D is equal to 5 degrees more than the measure of E. The sum of the measures of D and E is 10 degrees more
Gelneren [198K]

Answer: Measure of angle E = 45°

Measure of angle D = 45°+5° = 50°

Measure of angle F =  85°

Step-by-step explanation:

Let the measure of angle E be x.  ( in degrees)

Then Measure of angle D = x+5

Also, Angle D + Angle E = Angle F +10

\Rightarrow\ x+5+x =\text{Angle F}+10\\\\\Rightarrow\ \text{Angle F} = 2x+5-10\\\\\Rightarrow\ \text{Angle F} = 2x-5

Since DEF is a triangle, so the sum of their angles should equal to 180 degrees.

\Rightarrow\ x+x+5+2x-5=180\\\\\Rightarrow\ 4x=180\\\\\Rightarrow\ x=45

Measure of angle E = 45°

Measure of angle D = 45°+5° = 50°

Measure of angle F = (2(45)-5)° = (90-5)° = 85°

5 0
3 years ago
Other questions:
  • Sam and chad are ticket-sellers at their class play. sam is selling student tickets for $2.00 each, and chad selling adult ticke
    5·1 answer
  • A circle has a circumference of 361\pi <br> What is the diameter of the circle?
    5·2 answers
  • Multiply using distributive property.<br><br> (2m-5)(3m+8)<br><br> PLEASE HELP!!! ASAP!!!
    5·2 answers
  • A motorboat traveling a distance of 120 miles in 2 hours while traveling with the current. Against the current, the same trip to
    12·1 answer
  • Solve 1/2x times 1/4x-18=6.
    8·1 answer
  • A school made a graph to show the number of students in each grade that ride their bikes
    9·1 answer
  • Find the value of x in the triangle shown below.
    6·1 answer
  • Find the approximate area of the shaded region of the
    5·1 answer
  • Find the Volume. Plz Help
    6·2 answers
  • Solve: 8+ x/2 = 1/4(x-4)-1
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!