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
tangare [24]
3 years ago
11

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown. What is the surface area of the figure

? Express the answer in terms of π.
Mathematics
1 answer:
aliina [53]3 years ago
6 0
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
You might be interested in
HELP ME!! Solve 1/2(10x + 6) + 3/4 (8x + 3)
Elenna [48]

Answer:

11x+5.25

Step-by-step explanation:

Open the brackets

1/2 x 10x= 5x, 1/2 x 6 =3

3/4 x 8x=6x, 3/4 x 3 =2.25

Like terms together

5x + 6x + 3 + 2.25

Answer

11x + 5.25

8 0
2 years ago
Read 2 more answers
Anybody know how I can get better at algebra 1, because I'm struggling​
IrinaK [193]

Answer:

Step-by-step explanation:

Know Your Arithmetic

Remember PEMDAS

Get Positively Comfortable with Negative Numbers

Show Your Work

Don't Let the Letters Scare You

Be Sure to Answer the Right Question

Work Practice Problems

Calculator

Join a study group

3 0
2 years ago
A fraction reduces to 36. If its denominator is 6x^5, what it's its numerator?
earnstyle [38]
The answer is B because you will  cancel the x^5 part on top and bottom and the numerator left 6^3 and denominator left 6
6^3=216divid by 6 you will get 36
6 0
2 years ago
Read 2 more answers
What is the surface area of the rectangular prism?
trasher [3.6K]
220in
Just did the quiz.
4 0
3 years ago
Read 2 more answers
What facts are true for the graph of f(x) = 4x5^x
sashaice [31]
I think you need to add a picture?
5 0
3 years ago
Other questions:
  • Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about the coi
    7·3 answers
  • Stacy and Travis are rock climbing. Stacy's rope is 4 feet shorter than 3 times the length of Travis' rope. Stacy's rope is 23 f
    7·1 answer
  • Which of the following best describes the expression 7x + 2y?
    5·2 answers
  • Lisa writes the following list of numbers.
    7·1 answer
  • What is the area of the hexagon?<br><br><br><br> 60 m 2<br> 80 m 2<br> 100 m 2<br> 120 m 2
    11·1 answer
  • What is slope intercept equation of the line below
    8·2 answers
  • Which values are solutions to the inequality below? 
    6·1 answer
  • you are going to buy a herd of 60 camels. some of the camels have one hump, while others have two humps. the camels with one hum
    12·1 answer
  • Brainliest to whoever is correct!
    10·1 answer
  • Using the data above, how many people would be expected to live in Japan if the proportion of people to square miles were the sa
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!