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
jeyben [28]
3 years ago
9

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

base radius? Round your answer to the nearest whole number.
A. 2715 mm2
B. 905 mm2
C. 3167 mm2
D. 4524 mm2
Mathematics
1 answer:
lakkis [162]3 years ago
5 0
The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
You might be interested in
Find the area of the composite figure​
ehidna [41]
<h3>62.5 cm^2</h3>

The figure is a trapezoid, albeit not possessing the same lengths for the left and right sides. If I'm not mistaken, it has another name or term. But I forgot.

Anyway, to solve the problem, let us chop-chop or break the figure into two parts or two polygons that we are familiar with - a rectangle and a triangle. See the attached image for a clearer presentation.

After breaking the original polygon into two parts as portrayed by the red broken line, we are also going to divide the equivalent value of each side.

Remember, a rectangle has two pairs of common sides. Since the upper side of the polygon has a length of 10 cm, then, the length of the lower side (the side at the left side of the broken line) is 10, too. The same goes for the length of the left side which is 5 cm, and therefore the length of the broken line is 5 cm. Please refer to the attached image, particularly the figures in green.

From the standpoint of the triangle, based on thee figure, it has a height of 5 cm and a base of 5 cm (15 cm- 10 cm). Did you get it? If yes, let's continue.

Solving Time! :D

1. Solve for the area of the rectangle.

\begin{gathered}A_{rectangle}=L\times W\\=5\ cm \times 10\ cm\\=\bold{50\ cm^2}\end{gathered}

Arectangle=L×W=5 cm×10 cm=50 cm²

2. Solve for the area of the triangle.

\begin{gathered}A_{triangle}=\dfrac{b\times h}{2}\\=\dfrac{5\ cm\times5\ cm}{2}\\=\dfrac{25\ cm^2}{2}\\=\bold{12.5\ cm^2}\end{gathered}

Atriangle=2b×h=25 cm×5 cm=225 cm²=12.5 cm²

3. Combine (add) the two areas to find the area of the original figure.

\begin{gathered}A_{composite\ figure}=A_{rectangle}+A_{triangle}\\=50\ cm^2 +12.5\ cm^2\\=\bold{62.5\ cm^2}\end{gathered}

Acomposite figure=Arectangle+Atriangle=50 cm²+12.5 cm2=62.5 cm

If there's a Latex Error, Please click the second image attached below :)

4 0
2 years ago
How do i find the answer?
Savatey [412]

distance = rate * time

rate = distance / time

rate = .75 miles / .666666 hours

rate = 1.125 miles per hours (.125 = (1/8) ) so

rate = 1 plus 1/8 miles per hour. answer is B

3 0
3 years ago
Read 2 more answers
Savannah earns 247.00 how many hours did she work
Alekssandra [29.7K]
I’m sorry idkkkkkkkkkkkkkkkkkkkio
3 0
3 years ago
A painter charges $12 per hour plus $50 for every job. If he made $194 on a job, how many hours did he work?
Novosadov [1.4K]

Answer:

12

Step-by-step explanation:

194-50=144

144/12=12

8 0
3 years ago
Read 2 more answers
7. Which of the following is an example of a
Rom4ik [11]

The answer of 6and7 irrational number is 6.875

3 0
2 years ago
Other questions:
  • Megan borrowed $3,700 from her parents for 3 years at an annual simple interest rate of 1%. How much interest will she pay if sh
    12·1 answer
  • Have no clue how to do these questions, plz help! Plz explain how u solved them as well.
    9·2 answers
  • For the following parameterized​ curve, find the unit tangent vector. Bold r (t )r(t)equals=left angle 4 cosine (t )comma 4 sine
    6·1 answer
  • An airline surveys passengers from a flight that is on time to determine if passengers on all flights are satisfied.
    6·2 answers
  • Write the expression as the sine, cosine, or tangent of an angle. (6 points) cos 94° cos 37° + sin 94° sin 37°
    10·2 answers
  • Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs
    12·2 answers
  • Please help I will give brainliest, and everything else!!!!! Use the distributive property to find the value. (5y + 2 )8
    14·2 answers
  • you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight
    14·1 answer
  • A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with t
    11·1 answer
  • the radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!