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
aleksandrvk [35]
3 years ago
10

The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius? Enter your answer in

the box.
Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

\boxed{r=3cm}

Step-by-step explanation:

The volume of a cylinder is given by the formula;

V=\pi \time r^2 h


It was given that the volume of the cylinder, V=108\pi, and its height, h=12cm


We substitute the given values into the formula to obtain;


108\pi=\pi\times r^2\times 12


We divide through by 12\pi to obtain;


\frac{108\pi}{12\pi}=r^2


\Rightarrow 9=r^2


We take the positive square root of both sides to obtain;

\Rightarrow \sqrt{9}=r


3=r


r=3cm


Therefore the length of the cylinder's radius is 3cm.



AlekseyPX3 years ago
4 0

Answer:

the radius is 3 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi *r^2 h

We know the volume = 108 *pi  and the height = 12

Substituting into the equation

108 * pi = pi * r^2 * 12

Divide each side by pi

108 * pi/pi = pi/pi * r^2 * 12

108  =   r^2 * 12

Divide each side by 12

108/12 = r^2*12/12

9 = r^2

Take the square root of each side

sqrt(9) = sqrt(r^2)

3 = r

You might be interested in
Will give brainliest to correct answer​
likoan [24]

The answer is B

hope that helps

3 0
3 years ago
I NEED HELP PLEASE ! :(
denis-greek [22]

Answer:

4

Step-by-step explanation

because 256 is root of  4 raised to 4

so 4 root 4 is to 4 which is = to 4

hope it helped u i am new on brainly so counldnt write properly

if it helped u plzzz mark as brainliest

3 0
3 years ago
What is the value of -5.872 + (-5.1) ÷ 1.5? (a.) -9.272 (b.) -2.472 (c.) -7.315 (d.) 0.515
BigorU [14]

Answer:

The answer is A) -9.272

Step-by-step explanation:

-5.872 + (-5.1)/1.5

= -5.872 - 3.4

= -9.272

5 0
3 years ago
What is the value of x in the equation 5x+3=4x?
Volgvan

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

3 0
3 years ago
Read 2 more answers
Find S10 for -1 + -7 + -13 + -19
Alex777 [14]
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6

now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54 
a10 = - 55

now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum 
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280

so the sum of the first 10 numbers is -280

4 0
3 years ago
Other questions:
  • Consider the exponential function: f(x)=3(5/4)^3 what is the base,domain,and range for this function.
    7·2 answers
  • For which value of a are all the solutions of 2(x-5)&gt;3x+a less than or equal 5?
    10·1 answer
  • The weight of an object rounds to 41.3 kilograms select the three posible weights that correctly round to 41.3 kilograms
    7·1 answer
  • 3x + 5 = 39<br> How do I do this. Do I make the x by itself
    12·2 answers
  • Positive angles located in the fourth quadrant may be described as___.
    9·1 answer
  • I HAVE UNTIL 3:30 PLZ HELPPPP 40 POINTS AND BRAINLIEST
    15·1 answer
  • Please help me asappppppppp i will give a brainlest
    6·1 answer
  • The value of a house is expected to increase by 5% per year over the next several years. The current value of the house is $175,
    15·1 answer
  • Find the slope of the line through each pair of points.
    5·2 answers
  • Parker bought a shirt that was originally $45.It was discounted 20%.How much did he save(discount)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!