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
Kaylis [27]
3 years ago
11

These cylinders are similar. Find the surface area of the smaller cylinder. Round to the nearest tenth.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

Surface area = 80.4 cm²

Step-by-step explanation:

The diagram of both cylinders is attached below for a better understanding.

<h3>First find the radius of larger cylinder:</h3>

Surface area = 2πrh + 2πr²

236 = 2(3.14)(5)r + 2(3.14)r²

236 = 31.4r + 6.28r²

236 = 6.28(r² + 5r)

35.58 = r² + 5r

r = 3.97 cm

<h3>Find the radius of Smaller cylinder:</h3>

Two cylinders are in proportion if their heights and radius are in proportion:

Ratio of height of small cylinder to big cylinder = 3/5 = 0.6

So ratio of radius of both is also 0.6

Let R be the radius of small cylinder

ratio of radius of small cylinder to big cylinder = R / 3.97

R = (0.6)(3.97)

R = 2.38

<h3 /><h3>Surface Area for small cylinder:</h3>

R = 2.38cm and h = 3 cm

Surface area = 2πrh + 2πr²

Surface area = 2(3.14)(2.38)(3) + 2(3.14)(2.38)²

Surface area = 80.4115cm²

Round of to nearest tenth

Surface area = 80.4 cm²

You might be interested in
What is the line slope of (10,5) and (1,9)
sveta [45]
Use the slope formula
y2-y1
m=---------
x2-x1
(rise-->y over run-->x)
so it would be
9-5
m=-------
1-10
and that would simplify to
4
----
-9
and that would be your slope.

Hope that helped :-)
7 0
3 years ago
Read 2 more answers
There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
harkovskaia [24]

Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

5 0
3 years ago
Which represents the solution set of 5(x+5) &lt;85
Evgesh-ka [11]
You havent added the options
6 0
3 years ago
Read 2 more answers
Como medir la altura de un arbol usando el teorema de thales
zaharov [31]

Answer:

????

Step-by-step explanation:

5 0
3 years ago
Please help me. Explain this and give answer
Trava [24]

Answer:

It's B) 60

Step-by-step explanation: Just look at the similar one above T.

8 0
3 years ago
Other questions:
  • In a right triangle, the side adjacent to angle has length 1.82 meters and the hypotenuse has length 6.53 meters. What is the co
    12·1 answer
  • In a sample of 56 eighth graders, 16 chose football As their favorite sport favorite sport. If there are 495 eight graders in th
    8·1 answer
  • Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 o
    10·2 answers
  • What is the volume if this rectangular prism: 5/2 cm by 3/4 cm by 1/3 cm
    11·2 answers
  • Need help please help me
    7·1 answer
  • Can you help me please with my homework​
    13·2 answers
  • Help!?!? Find the volume of the composite figure ​
    6·1 answer
  • PLZZ BRAINLIEST TO ANYBODY THAT CAN SOLVE THIS. (wrong or not at least try)
    5·1 answer
  • 2. Karen was cutting out some fabric
    11·2 answers
  • Question in pic! Will give brainliest! ANSWER ASAP
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!