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
mafiozo [28]
3 years ago
11

A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π square units. What is th

e length of the radius of the cylinder?
(please show work)

Mathematics
2 answers:
Juliette [100K]3 years ago
8 0
The length of the radius of the cylinder is 2 units.

The lateral surface area of a cylinder = <span>2πrh</span>
where, r = base radius
            h = height of cylinder
Now, height of cylinder = 2r units
          
⇒ 16 π =  2×π×r×<span>h
</span>⇒ 16 π =  2×π×r×2r
⇒  r^{2} = 4
⇒ r = 2 units
Thus, radius is 2 units.

tresset_1 [31]3 years ago
5 0

Answer: 2 units

Step-by-step explanation:

The lateral area of the cylinder is given by :-

L.A.=2\pi r h, where r is radius and h is the height of cylinder.

Given: The lateral area of the cylinder = 16π square units.

Let r be the radius of the triangle, then we have

Height of cylinder = 2r

The lateral area of the given cylinder will be :-

16\pi=2\pi r(2r)\\\\\Rightarrow2r^2=8\\\\\Rightarrow r^2=4\\\\\Rightarrow r=\pm2

Hence, the length of the radius of the cylinder = 2 units.

You might be interested in
9. The water level is 3 feet below your dock. The tide goes out, and the water level lowers 1 foot. A storm surge comes in, and
guapka [62]
We know that that the water level is 3 feet below your deck. (-3)
When the tide goes out, the water level lowers 1 foot. (-1)
A storm surge comes in, the water level rises 2 feet. (+2)

New water level: -3-1+2= -4+2= -2
The new water level is 2 feet below the dock.

Mark as brainliest pls. Any concern or comment, talk to me.
3 0
2 years ago
Read 2 more answers
I don’t know how to solve this it’s exponents.
matrenka [14]

Answer:

9^6

Step-by-step explanation:

When dividing exponents with the same base, we subtract the exponents

a^b/ a^c = a^(b-c)

9^11/9^5 = 9^(11-5)

              = 9^6

4 0
2 years ago
Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
aev [14]

Answer:

y = -4/3 x=-1/3

Step-by-step explanation:

y = x2 + 2x – 3 and y = x – 1

y= (y + 1)2 + 2(y + 1) - 3 and x= y+ 1

y= 2y + 2 + 2y +2 and x= y+ 1

-3y = 4 and x= y+ 1

y = -4/3 and x = (-4/3) + 1 = -1/3

x2 is x squared or x multiplied by two

7 0
3 years ago
What numbers add up to 3 &amp; multiple to 10
Galina-37 [17]

There are no real numbers that can do that job.

The numbers are

       <em> 1.5 + i √7.75</em>
and
       <em>1.5 - i √7.75</em>

These are called 'complex numbers'.  The symbol ' i ' stands for √-1  .

==================================================

If either the ' 3 ' or the ' 10 ' was actually supposed to be negative,
then the two numbers would be<em>  2 </em> and<em>  -5 .</em>


4 0
3 years ago
Read 2 more answers
What is the greatest common factor of 21 and 65
love history [14]

Answer:

1

Step-by-step explanation:

21 = 3*7

65 = 5*13

CGF: to find the greatest common factor, multiply those factors both numbers have in common

GCF :1  since there are no factors in common

7 0
3 years ago
Read 2 more answers
Other questions:
  • How far is Mars from the sun actually formatted
    15·1 answer
  • Felipe Rivera's savings account has a balance of 2163 After 3 years what will the amount of interest be at 4%
    6·1 answer
  • Helpppppp me please
    5·1 answer
  • What is the value of x in the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%20-%5Cfrac%7B2%7D%7B3%7D" id="Te
    5·2 answers
  • 6x^3-1x^2+1)divided by(2x+1)
    9·2 answers
  • Can someone please help me
    14·1 answer
  • Some one plzzzz helpppp meeee
    7·1 answer
  • Who ever gets this will get a brainlest
    12·2 answers
  • Work out whats 2f-4g
    10·1 answer
  • I really need help with this thanks a lot
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!