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
aev [14]
3 years ago
14

A game shop sells marbles in clear plastic cylinders. Four marbles fit across the diameter of the cylinder and 10 marbles fit fr

om the base to the top of the cylinder. Each marble has a diameter of 2 cm. What is the area of the plastic that is needed to make one cylinder?
Mathematics
1 answer:
slega [8]3 years ago
5 0
To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2<span>πr^2.

Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius. 
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall. 
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
</span>A=2π(4)(20)+2π(4)^2.
<span>Assuming that pi is 3.14, when you simplify this using PEMDAS, you get 
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.



</span>
You might be interested in
Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to scho
Alexeev081 [22]

Answer:

hhhhjjjuuuuiuuu6g6g6c67g7g7g6g7g6g

8 0
3 years ago
A person who weighs 100 pounds on Earth weighs 16.6 lb. on the moon.
mario62 [17]

Answer:

See explanation below.

Step-by-step explanation:

Given: 100 lbs on Earth is 16.6 lbs on the moon.

a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.

b. An equation that relates the weight of someone on the Moon who travels to the Earth:

100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:

Moon Weight * 6.02 = Earth Weight.

Proof:

16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.

c. A 185 lb astronaut on Earth would weigh:

16.6 / 100 = .166. Take the Earth weight and multiply by .166:

185 * .166 = 30 lbs on the Moon.

d. A person who weighs 50 lbs on the Moon:

50 * 6.024 = 301.2 lbs on Earth.

Hope this helps! Have an Awesome Day! :-)

6 0
3 years ago
Kelly and Max run a race. Max takes 42 seconds to run the race. She is 7 seconds faster then Kelly. How many seconds does Kelly
yan [13]

Answer:

35 seconds

Step-by-step explanation:

if you simply minus 7 seconds from max 42 second time you get 35 seconds.

4 0
4 years ago
Read 2 more answers
10m radius. What is the area of the circle? Round your answer to the nearest tenth.
Evgen [1.6K]

Answer:

D

Step-by-step explanation:

The area of a circle can be found using:

a=πr^2

We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.

a=π*10^2

Evaluate the exponent

a=π*100

Multiply pi and 100

a=314.159265359

Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.

a=314.2

The area is 314.2 square meters, or choice D

7 0
3 years ago
Read 2 more answers
A band consists of 3 woodwinds for every 7 members of the band. The independent quantity represents the total members of the ban
IgorC [24]

Answer: k=\frac{3}{7}

Step-by-step explanation:

For this exercise it is important to remember the following:

The constant of proportionality, which is represented as "k", describe  the constant ratio of two quantities that are proportional (the independent and dependent variables).

In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.

Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of  proportionality for this relationship is:

k=\frac{3}{7}

8 0
3 years ago
Other questions:
  • If the standard deviation of shear strength measurements for spot welds is 10.5 pounds per square inch (psi), what is the minimu
    6·1 answer
  • What constant do you need to add to each of the following quadratic equations to complete the square?
    10·1 answer
  • Venn diagram Interpretation (4 pts)- to be completed at the end of unit 4
    13·1 answer
  • Find missing angel<br> X=???
    11·1 answer
  • More inequalities Help please
    9·1 answer
  • 3x (7+8)x2+6 = ? HM?
    5·1 answer
  • Plsss help meeeeeeeeeeeee
    11·1 answer
  • Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement
    13·1 answer
  • Find the distance between points S(−2,4) and T(3,9). Round your answer to the nearest tenth.
    8·1 answer
  • A fruit vendor noticed a proportional relationship between the sales of two of its most popular items, pounds of apples and poun
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!