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
I need answer please​
Assoli18 [71]

It is centered at (h,k) --> (0,0) and has a radius 9

The equation of the circle is

           (x-h)^{2} +(y-k)^{2} =r^{2} \\(x-0)^{2} +(y-0)^{2} =r^{2}\\x^{2} +y^{2} = 9^{2}

Hope that helps!

4 0
2 years ago
How to multiple 90km/h x 1h 30min
sveta [45]
90 km/ h x 1.5 h = 135 km
7 0
3 years ago
Write the ratio as a fraction in lowest terms 17 minutes to 2 hours
8_murik_8 [283]
17:2 equals is 17/19 of the whole and part b is 2/19 of the whole
3 0
3 years ago
Read 2 more answers
Freddie ran for 5 days in a row. The line plot shows how much miles he ran each day. how far did he ran in total? Be sure to red
Blababa [14]

Answer:

8/4

Step-by-step explanation:

7 0
2 years ago
On a very cold morning, it was -8°F. As the day went on, the temperature rose 2° each hour. which equation shows the temperature
gladu [14]
-8 + 2x
hope that helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • The area of David's living room is 18.087 square yards, and their bedroom has an area of 15.78 square yards.Round to the nearest
    7·1 answer
  • Help step by step I don’t understand(:
    10·2 answers
  • The sum of 5 times the width of a rectangle and twice its length is 26 units. The difference of 15 times the width and three tim
    12·1 answer
  • Find the slope between these two points!
    6·1 answer
  • What 12.06 x -4 help me
    11·2 answers
  • 7-3/8<br><img src="https://tex.z-dn.net/?f=%20%20%20%3D%20%20%5C%5C%20%20" id="TexFormula1" title=" = \\ " alt=" = \\ "
    8·2 answers
  • HELP FAST PLS AND THANK U
    11·1 answer
  • Here are two circles. Their centers are A and F. What is the same about the two circles?
    7·1 answer
  • The function h(n) describes the total amount of money a movie theater receives for n tickets sold.
    10·1 answer
  • I really need help i keep getting confused
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!