A soup can have a volume of 54 π in³ and a height of 6 in.

What is the area for the label needed to wrap around the can with no overlaps? Express your answer in terms of π.

Answers

Answer 1

Answer:

The area of the label is 36*pi in²

Step-by-step explanation:

A can of soup has a shape of a cylinder, therefore it's volume is equal to:

Volume = pi*r²*h

We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:

Lateral area = 2*pi*r*h

Applying the data from the problem we have:

54*pi = pi*r²*6

pi*r²*6 = 54*pi

r² = 54*pi/(pi*6)

r² = 54/6 = 9

r = sqrt(9) = 3 in

Therefore the lateral area is:

lateral area = 2*pi*(3)*(6) = 36*pi in²

Answer 2

Answer:

18π in ²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

volume v = 54 π in³

Height h = 6 in

In this problem we are considering the surface area of the cylinder

(not the total though ) but the curved surface area

Let us solve for the radius of the shape

Volume = πr²h

54π= π*r²*6

54/6= r²

r²= 9

r= √ 9

r= 3in

Area of curved surface = 2πrh

Area = 2πrh

Area =2π*3*6

Area = 18π in ²


Related Questions

What is the product of (3a + 2)(4a2 - 2a + 9)?
12a3 - 2a + 18
12a3 + 6a +9
12a3 - 6a2 + 23a + 18
O 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a^3+2a^2+23a+18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

In a class of all girls, 22 of the 28 students have brown hair. What is the
probability of randomly picking a girl without brown hair?
Enter your answer in the box below as a fraction in reduced form, using the
slash mark ( 7 ) for the fraction bar.

Answers

Answer:

3/14

Step-by-step explanation:

28-22=6 (the rest of the girls)

6/28 = 3/14 (reduced form)

Kevin started his science test at 2{:}34\text { p.M.}2:34 p.M.2, colon, 34, start text, space, p, point, m, point, end text and finished the test 757575 minutes later. Kevin has football practice at 4{:}15 \text{ p.M.}4:15 p.M.4, colon, 15, start text, space, p, point, m, point, end text How much time did Kevin have between the end of the test and the beginning of football practice?

Answers

Answer:

26 Minutes.

Step-by-step explanation:

Kevin started his science test at [tex]2{:}34\text { p.M.}[/tex]

He finished the test 75 minutes later.

Now: 75 Minutes = 1 hr 15 Minutes

2:34 + 75 Minutes

=2:34+1:15

=3:49 P.M.

Kevin finished his test by 3:49 P.M.

Kevin has football practice at 4:15 P.M.

Therefore, the time Kevin had between the end of the test and the beginning of football practice

=4:15 P.M.-3:49 P.M.

=26 Minutes.

Find the surface area of the prism. 5.7 4 3 4

Answers

Answer:

A=166

Step-by-step explanation:

Length: 5

Width: 7

Height: 4

Shape: Rectangle Prism

Solved for surface area

Formula: A=2(wl+hl+hw)

Answer:A=166

Hope this helps.

The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest hundredth of a square centimeter

Answers

Answer:

The area of the sector should be 9.42[tex]cm^2[/tex] .

Step-by-step explanation:

-The formula for finding the area of a sector:

[tex]A = \frac{Arc}{360} \pi r^2[/tex]

-Next use the arc measure and the radius in order to solve and get the answer:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

-Solve:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

[tex]A = \frac{120\textdegree}{360\textdegree}\pi \times3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 9[/tex]

[tex]A = 3\pi \approx 9.424[/tex]

-Round to the nearest hundredth:

[tex]A \approx 9.42[/tex]

what’s the answer to 2(12+6)+3(68-13)

Answers

Answer:

201

Step-by-step explanation:

2 · 18 + 3 (68-13)

2 · 18 + 3 · 55

36 + 3 · 55

36 + 165

201

PLEASE HELP!!

Find the value of x and identify the type of polynomial.

A. X = 60; regular pentagon
B. x = 60; regular quadrilateral
C. x= 100; pentagon
D. x= 100; quadrilateral
E. X=85; regular quadrilateral​

Answers

Answer:answer is 100; quadrilateral

Step-by-step explanation:

Becca sells bracelets for $9 each. She has to pay $4.35 for the materials for each bracelet. How much money does she make from each bracelet after she pays herself back for the materials? How much money does becca make from the sale of 15 bracelets?

i am marking brainiest

Answers

Answer:

$4.65$69.75

Step-by-step explanation:

How much money she makes from each bracelet:

9-4.35=$4.65

How much money she makes from the 15 bracelets:

4.65 x 15= $69.75

Answer:

Part 1: 4.65

Part 2: 69.75

Step-by-step explanation:

The first question is "How much money does she make from each bracelet after she pays herself back for the materials?"

To answer that, we must find how much she is selling them for ($9) and subtract the cost of the materials from it ($4.35), which equals 4.65

The second question is How much money does becca make from the sale of 15 bracelets?

In other words, they are only asking for the profit made which means they don't want the materials used cost included. So we can use the answer from before and multiply by 15, so 4.65*15=69.75.

Hope that makes it clear, and good luck with studies :)

(08.02)
The scores of several classmates on a math test are shown below:
91
points
77
points
90
points
79
points
81
points
85
points
86
points
76
points
75
points
80
points
What is the median score for these students? (4 points)

Answers

Answer:

the median is 80.5

Step-by-step explanation:

first we put them in order

75,76,77,79,80,81,85,86,90,91

the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.

So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.

(80 + 81) / 2 = 161/2 = 80.5 <== the median

Answer:

80.5

Step-by-step explanation:

7/6r=-1/2
HELP!! WILL GIVE BRAINLIEST!!!

Answers

6/7* 7/6r= 6/7* (-1/2)
1/7*7r=6/7*(-1/2)
R=6/7*(-1/2)
R=-6/7*1/2

R=-3/7

Which one of these is not a 3D shape?
a.) Pyramid
b.) Cone
c.) Sphere
d.) None of these​

Answers

Answer: d all others are 3d

Step-by-step explanation:

Answer:

D) None of the above

Step-by-step explanation:

This is because all of the shapes above are examples of 3D shapes. A 3D shape would have the dimensions of length and width and height. However a 2D shape would only have the dimensions of length and width.

An example of a 2D shape is a rectangle. as it consists of a length and a width, but does not have a height.

On the other hand a £D shape such as a cube would have a length, width and a height.

What is the median?
–8,977–8,975–8,973–8,972–8,977–8,974–8,973–8,975–8,977–8,972–8,978–8,977–8,979–8,976–8,978–8,976–8,975–8,972

Answers

8,972 is the correct answer to your question

Solve the given system by substitution.
n=5m
n=2/3 m-13

Answers

Answer:

n = -15         and          m = -3

Step-by-step explanation:

To solve the given system of equation, we will follow the steps below:

n = 5m ----------------------------------------------------------------------------(1)

n = [tex]\frac{2}{3} m -13[/tex] ---------------------------------------------------------------------(2)

substitute for n= 5m in equation (2)

5m =  [tex]\frac{2}{3} m -13[/tex]

subtract [tex]\frac{2}{3} m[/tex] from both-side of the equation

5m -  [tex]\frac{2}{3} m[/tex]  = [tex]\frac{2}{3} m[/tex] -  [tex]\frac{2}{3} m -13[/tex]

At the right-hand side of the equation  [tex]\frac{2}{3} m[/tex]  will cancel-out leaving us with just -13

5m -  [tex]\frac{2}{3} m[/tex]  = -13

[tex]\frac{15m - 2m }{3}[/tex] = -13

[tex]\frac{13m}{3}[/tex] = -13

multiply both-side of the equation by 3

3 ×  [tex]\frac{13m}{3}[/tex] = -13 ×  3

At the left-hand side of the equation 3 will cancel-out 3 leaving is with just 13m

13m = -39

Divide both-side of the equation by 13

13m/13  = -39/13

m = -3

substitute m = -3 in  equation (1)

n = 5m

n = 5 (-3)

n = -15

Therefore, n = -15         and          m = -3

Jamie took 20 pieces of colored paper and put them in a hat. Eight pieces were red, two pieces were blue, and the rest were green. She pulls a piece of paper out of the hat. What are the chances that the paper is red?

Answers

Answer:

40%

Step-by-step explanation:

8/20=0.40

0.40*100=40

What is the volume of a cylinder with base radius 333 and height 888?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

V≈3.09×108

Step-by-step explanation:

Shape: Cylinder

Solved for volume

Radius: 333

Height: 888

Formula: Radius, Height

Exact answer: V≈3.09×108

Hope this helps.

The volume of the cylinder is = 98,469,432π

Calculation of volume of cylinder

The radius of the cylinder = 333

The height of the cylinder = 888

Therefore the volume is = ?

The formula for the volume of cylinder = πr²h

V = π× 333² × 888

V = π × 110,889× 888

V = 98,469,432π

Therefore, the volume of the cylinder is = 98,469,432π

Learn more about volume here:

https://brainly.com/question/25736513

#SPJ2

Which are perfect squares? Check all that apply.
O 72
36
8
16
0 81
O 64
048

Answers

Here they are:


36,16,81,64
36,16,81 64 has to be the answer hope it helps

To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis journey total?

Answers

Answer:

11.82 km

Step-by-step explanation:

6.37+5.45

please help me! which ones are the right ones , pls and ty

Answers

Answer:

-5/6=-5/-6=- 5/6

- 7/2=-7/-2=-7/2

Step-by-step explanation:

Solve for g.
9 - g = 2g

Answers

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g       +g

9=3g

divide both sides by 3

g=9

Liz flips a coin 40 times. The coin lands heads up 24 times and tails up 16 times. What is the theoretical probability of the coin landing heads up

Answers

Answer:50

Step-by-step explanation:

Because I just got it right

Answer:

50%60%Less

Step-by-step explanation:

I did the quiz

what is the positive slope of the asymptote of (y+11)^2/100 - (x-6)^2/4 = 1? The positive slope of the asymptote is​

Answers

Answer:

5

Step-by-step explanation:

its 5 on Edge just took the test!

Answer:

It's 5

Step-by-step explanation:

Just like the person above me, I did it on edge...

The diameter of a circle is 8 units.What is the radius of the circle? 2 points Your answer Submit

Answers

Hey !!

HERE'S YOUR ANSWER:

Diameter(d)=8 units

radius(r)=8/2=4 units.

So the right answer is 4 units.

Look at the attached picture

Hope it will help you.......

You should divide the diameter by 2 to get the radius. Since the diameter is 8 units here, the radius is 8/2 which is 4 units. So the answer is 4 units.

Each card in a set of cards has one of the letters from the world mathematics. The cards are shuffled. What is the probability of drawing the letter m

Answers

Answer:

2/11

Step-by-step explanation:

mathematics = 11 letters

P(m) =  number of m's / total

         =2/11

PLEASE HELP!! This is due today!! - The polynomial function shown has x-intercepts at x= -2, x=0 and x=1. Identify a possible equation of this function. Giving 15-20 points!!! Pls show work and have a reasonable answer! Thank you :))

Answers

Answer:

f(x)=-x(x+2)(x-1)

Step-by-step explanation:

Anyone know how to do this??

Answers

Answer:

its square roots

Step-by-step explanation:

you gotta take the "answer" so in this case its 3m with something to the power and the square root of 7, which is 2.6. Then you take 3m and add it to 2.6, which is 5.6m. Then you take 5.6 and take the to the 17th power and do that which is 5.2e+12. You simplify that and thats the answer. I'm pretty sure.

please help me out here !

Answers

Answer:

you have a 1/6 chance to get anything between l and Q

Step-by-step explanation:

The reason being that their is 6 and each have one so there is an equal chance for all of them,

Which of the following are equations
Choose 3 answers
A.60/5=4•3
B.74=2t
C.q-6 D.(r-3)•s=s2
E.9<(3v)(v+1)

Answers

Answer:

A, B, and C

Step-by-step explanation:

an equation has an equal sign (=).

Will mark as brainliest if correct

Answers

Answer:

X=0

Step-by-step explanation:

Anything raised to the power of 0 is 1.

Calculators cannot display repeating decimals. Calculators always round. Yuri's calculator displays decimals to 5 places. He uses his calculator to find the decimal equivalent for each of the fractions below. For each number, choose what his calculator will display as the decimal equivalent. Then choose whether or not this is the exact decimal equivalent.

1/9
Calculator display for 1/9:

Is this the exact decimal equivalent?

7/9
Calculator display for 7/9:

Is this the exact decimal equivalent?

9/10
Calculator display for 9/10:

Is this the exact decimal equivalent?

Answers

1/9 = 0.111111111..., No

7/9 = 0.777777...8, No

9/10 = 0.9, Yes

Dividing by a non-factor of 9 by 9 will always result in an infinite decimal, similar to dividing a non-factor of 3 by 3 or a non-factor of 7 by 7.

However, dividing a number by 10 will simply move the decimal one value to the right, so 9.0 divided by 10 is 0.90.

Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12

oof

Answers

Answer:

4 5 7

Step-by-step explanation:

i know it

Answer:

Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Step-by-step explanation:

Given: Set of numbers.

To find: Set that represent sides of an acute angled traingle.

We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

∵ 41 < 49

⇒ It is an Obtuse Traingle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

∵ 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

∵ 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

∵ 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

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