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
Eduardwww [97]
3 years ago
5

A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to t

he nearest square centimeter.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
3 0

Hey there! I'm happy to help!

We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.

So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.

π×1.5²=7.065

Now, we need  to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.

First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.

3π=9.42

So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.

9.42×6.4=60.288

Now, we add the rectangle area and the bottom circle area.

60.288+7.065=67.353

But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.

An important thing to note is that this is not  the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.

Have a wonderful day!

You might be interested in
The ladder in a fire station is 29 feet (ft) tall. The ladder is anchored to the basement floor and the second floor ceiling. Th
Eduardwww [97]

Answer:

top = 17ft

bottom = -12ft

Step-by-step explanation:

As seen in the badly drawn picture attached in this question we are trying to find the point at the top of the ladder and the point at the bottom of the ladder. As seen in the picture ground level has an altitude of 0 ft meaning that lower than this would be in the negatives. Since the basement floor is 12 feet below ground level then this point would be -12 ft. Now since we know that the ladder is 29ft tall we simply add this height to the basement floor value to get the value of the 2nd floor ceiling (top of the ladder).

29ft + ( -12ft) = 17ft

Therefore we can see that the point at the top of the ladder is 17ft.

8 0
3 years ago
What is the 308th term of the sequence 11,12.5,14,15.5,17...
Alecsey [184]

\huge\boxed{471.5}

The formula for an arithmetic sequence is as follows:

a_n=a_1+(n-1)d

In this formula, a_n represents the nth term of the sequence and d represents the common difference between each term.

Plug in the known values.

a_{308}=11+(308-1)1.5

Subtract.

a_{308}=11+307*1.5

Multiply.

a_{308}=11+460.5

Add.

a_{308}=\boxed{471.5}

6 0
2 years ago
Tisha has already written 2 pages, and she expects to write 2 pages for every additional hour spent writing. After spending 3 ho
professor190 [17]

Answer:

8

Step-by-step explanation:

x = 2n +2

where n is the number of hours. In this case n = 3 so x = 8

7 0
2 years ago
Read 2 more answers
A newspaper poll found that 54% of the respondents in a random sample of voters from a district in a city plan to vote
worty [1.4K]

Answer:

D

Step-by-step explanation:

Edg 2021

8 0
3 years ago
Read 2 more answers
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:
Leni [432]

Answer:

10 km/hr

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 km/hr

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 km/hr

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 km/hr - 120 km/hr

= 10 km/hr

3 0
3 years ago
Other questions:
  • (-x^2-x+3)+(-x-1) simplify
    12·2 answers
  • #1. The area of a square tile is 53.4cm^2. find the length of one side of the tile, rounded to the nearest 10th.
    13·2 answers
  • My base is 10. My exponent is an odd number. If you write a multiplication sentence to show my value, it will be have fewer than
    7·1 answer
  • 3. Which unit of measure would you use to measure the distance from<br> Frisco to Dallas?
    8·1 answer
  • 16. What is the equation in slope-intercept form of a line
    13·2 answers
  • Plot the graph for the equation2y+6=0 , and then select the matching graph below.
    12·1 answer
  • Brainliest if you help me only answer if you know pls and thanks you
    10·2 answers
  • Need help asappppppp​
    8·1 answer
  • HELP IF RIGHT WILL MARK BRIANLIEST!! NO LINKS!!!!!!!
    5·2 answers
  • Solve for x:<br> x^2=a<br><br> If a&lt;0, then <br> If a=0, then<br> If a&gt;0, then
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!