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
Nostrana [21]
2 years ago
12

A piece of paper has a

Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer:

The volume of the resulting cylinder is 385 cm³

Step-by-step explanation:

The formula of the rule of a cylinder is V = π r² h, where

  • r is the radius of its base
  • h is the height of it

<em>When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder</em>

∵ ABCD is a rectangle

∵ It is folded where AB coincides with DC

∴ AB is the height of the resulted cylinder

∴ BC is the circumference of the base of the resulted cylinder

∵ AB = 10 cm

∴ h = 10 cm

∵ BC = 22 cm

∴ The circumfrence  of the base = 22 cm

∵ The circumference of a circle = 2 π r

→ Equate the rule by 22 to find r

∴ 2 π r = 22

∵ π = \frac{22}{7}

∴ 2 × \frac{22}{7} × r = 22

∴ \frac{44}{7} r = 22

→ Divide both sides by \frac{44}{7}

∴ r = 3.5 cm

→ Use the formula of the volume above to find the volume of the cylinder

∵ V = \frac{22}{7} × (3.5)² × (10)

∴ V = 385 cm³

∴ The volume of the resulted cylinder is 385 cm³

You might be interested in
1. Identify the base and the exponent.<br> A.6^3<br> B.2^3<br> C.(9)^5<br> -<br> 8
puteri [66]

Answer:

A. base 6 Exponent 3

B. base 2 Exponent 3

C. Base 9 Exponent 5

4 0
3 years ago
A crane able can support a maximum load of 15,000 kg. If a bucket has a mass of2,000 kg and gravel has a mass of 1,500 kg for ev
marissa [1.9K]
8 2/3. 8 2/3*1.5 +2= 15
6 0
3 years ago
What is the approximate volume of the cylinder? Use 3.14 for
dlinn [17]

Step-by-step explanation:

it's 452.16 because it's the closest estimate

8 0
3 years ago
If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered? perfect-square trinomial difference of
Tems11 [23]

The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.

<h3>What factoring method can be considered for the polynomial?</h3>

It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.

On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.

Read more on factorisation;

brainly.com/question/25829061

#SPJ4

8 0
2 years ago
Find the length of the cardioid r=5+5cosθ.
ipn [44]
Hello,

r=5(1+cos t)

r'=5(-sin t)

r²+r'²= 25[(1+cos t)²+(-sin t)²]=50(1-cos t)=50 sin² (t/2)
Between 0 and π, sin x>0 ==>|sin x|=sin x
l= 2*5* \int\limits^{\pi}_0{sin( \frac{t}{2} )} \, dt= 5[-cos (t/2)]_0^{\pi}\\\\&#10;=5(0+1)=5

Here is the method but i may have make some mistakes.






3 0
3 years ago
Other questions:
  • HELP!!!! <br>add: (5x3 -3x+7) + (2x3+6x2-x)​
    13·1 answer
  • Hughes has a debit balance of $5,000 in its Allowance for Doubtful Accounts before any adjustments are made at the end of the ye
    14·1 answer
  • if 4% of packages get lost in the mail, then which decimal best represent the amount of packages lost in the mail?​
    11·1 answer
  • The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she
    12·1 answer
  • James and Lin got married and got new jobs. Lin earns $3500 more per year than James. Together they earn $82,360. How much does
    13·2 answers
  • An athlete runs 1 mile along a normal 400m athletic track and finishes exactly on the finish line. Where did he start from? ( 1
    14·1 answer
  • A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.
    12·1 answer
  • Find the input for the function machine.
    15·1 answer
  • Solve for sk and angle PQR.
    12·1 answer
  • Can U help me pwz owo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!