A cylinder's height equals the diameter of its base. What fraction of the total surface area of the cylinder is the total area of the two bases

Answers

Answer 1

If the Cylinder's height equals to the diameter of its base , then the fraction of the total surface area of the cylinder to the total surface area of the two bases is 1/3 .

The curved surface area of the cylinder with height "h" and radius "r" is written as ⇒ [tex]2\pi rh[/tex] ;

the area of the top and bottom of the cylinder is ⇒ [tex]\pi r^{2} + \pi r^{2}[/tex] = [tex]2\pi r^{2}[/tex] ;

the total surface area of the cylinder will be ⇒ [tex]2\pi rh[/tex] [tex]+2\pi r^{2}[/tex]  ....equation(1)

it is given that the height of cylinder is equal to the diameter of the base ,

that means ; [tex]h = 2r[/tex]

Substituting the value [tex]h = 2r[/tex] in the equation(1) ,

we get ,

total surface area of cylinder = [tex]4\pi r^{2} +2\pi r^{2}[/tex] = [tex]6\pi r^{2}[/tex]

So , the required fraction is = [tex]\frac{2\pi r^{2} }{6\pi r^{2} }[/tex] ,

On simplifying ,

we get ,

= [tex]\frac{1}{3}[/tex]  .

Therefore , the fraction of two bases to the total surface area is [tex]\frac{1}{3}[/tex] .

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Related Questions

Solve the problem as directed. The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance d between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies.

Answers

Therefore, F = c * M1 * M2 / d^2 when the force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them using the C constant.

What is the distance?

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

What is direction?

Direction is characterized as the course that anything follows, the route that must be taken to go to a certain location, the direction in which something is beginning to take shape or the direction you are facing.

F = c * M1 * M2 / d^2

Where,

F is the force of attraction,

M1 and M2 are the weights of the two bodies,

d is the distance between the two bodies,

and c is the proportionality constant.

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Sherry can make 5 pies in 4 hours How many hours does it take sherry to make 16 pies?

Answers

Answer:

20 pies

4+4+4+4=16 hours

5+5+5+5= 20 pies

hope this helped

Step-by-step explanation:

4^n + 1 , Where n is a natural number , will

A) definitely be an odd no.

B) definitely be an even no.

C) definitely be a multiple of 5

D) be odd if n is odd and be even if n is even

Answers

Answer:

a) will definitely be an odd number

Step-by-step explanation:

4^n is always even (when you multiply even and even number, the product is always even)

when you add one to even number, the sum is always odd

so 4^n +1 is odd.

Mike is saving money for a new bike that costs $180.00
​​
​If represents the amount of money he has saved ​so far, which expression represents the amount of money,​in dollars, he still needs to save?
A
180+m180+m180+m
B
180−m180-m180−m
C
180×m180\times m180×m
D
180÷m180\div m180÷m

Answers

Answer: B

Step-by-step explanation:

B) 180−m180-m180−m

(iv)The ratio of 5m to 150cm is ________.

Answers



Explanation- Convert 5 m to centimeters=500cm

= 500cm:150cm

Than you have to find any table that goes into them..... Answer-10:3

Hope this helps

The diameter of a circle is 3 miles what is the circumference?

Answers

Answer:

9.42

Step-by-step explanation:

Circumstance is 2*pi*r =2 *3.14*1.5

r=d/2=3/2=1.5

Answer:

Circumference= 2πr

raduis is half of the diameter so the radiuse is 1.5miles.

2 x 3.14 x 1.5= 9.42

The circumference is 9.42 miles.

I need help on this hhhhhhhh​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{10^{15}}{10^4}}[/tex]

[tex]\mathsf{10^{15}}\\\mathsf{=10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times 10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 1,000,000,000,000,000}}[/tex]

[tex]\mathsf{\dfrac{\bold{1,000,000,000,000,000}}{10^4}}[/tex]

[tex]\mathsf{10^4}\\\mathsf{= 10\times10\times10\times10}\\\mathsf{10\times10=\bf 100}\\\mathsf{100\times100}\\\mathsf{= \boxed{\bf 10,000}}[/tex]

[tex]\mathsf{\dfrac{1,000,000,000,000,000}{\bf 10,000}}[/tex]

[tex]\mathsf{\dfrac{1,000,000,000,000,000}{10,000}}\\\\\mathsf{= 1,000,000,000,000,000\div 10,000}\\\\\mathsf{= \boxed{\bf 100,000,000,000}}[/tex]

[tex]\mathsf{10^{11}}\\\mathsf{10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 100,000,000,000}}[/tex]

[tex]\mathsf{100,000,000,000= 100,000,000,000= 10^{11}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: BASICALLY }\mathsf{\dfrac{10^1^5}{10^4}\large\text{ is EQUAL to or EQUIVALENT to}}}}\\\boxed{\boxed{\mathsf{10^{11}}\large\text{ because they both give you the result of \bf 100,000,000,000}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

a) 5.6

Step-by-step explanation:

sin 22° = x/15

0.3746 = x/15

x = 5.62

Becky buys 3 1/2 kilograms of cheddar cheese and 1 kilogram of Swiss cheese. There are 1,000 grams in 1 kilogram. How many grams of cheese does Becky buy?
1.) 450
2.) 4,120
3.) 412
4.) 4,500
help me, thanks

Answers

Answer:option 4. 4,500

Step-by-step explanation:

sense  1k= 1,000 g.......S =1 CC=3 1/2= 500 3=4 = 4,500

have an amazing day hope this helpsss<3

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

ez

tx is the finder of the anser

There are 10 marbles in a bag .2 red, 5 green and 3 blue. Aron picks up 2 marbles without
replacing the first marble. What is the probability that both the marbles are blue.

Answers

Answer:

It would be 0.09

Step-by-step explanation:

First, note the original Probability for picking a blue marble in the first try:

0.3

Now, if this were to happen again, knowing that no marbles would be taken out, it would be another chance of 0.3 for Aron to pick up a blue marble on his second pick up.

Due to these being independent events, you can do:

0.3*0.3 = 0.09

To get your answer, 0.09.

Answer:

27/90 = 3/10

Step-by-step explanation:

Calculate the probability that neither is blue

7/10 * 6 / 9

63/90

Now the remainder of the choices are what the probability is when both are blue

1 - 63 / 90

27/90 is the probability of choosing 2 blues.

given the regular polygon what is the measure of each numbered angle

will mark brainliest
70 points

Answers

Answer:

It would be answer A.

Step-by-step explanation:

I used basic analysis.

I looks at the angles and choose which answer looked like it would best fit the angles.

Mrs. Katz’s science class has spherical beakers that measure 14 centimeters in diameter. If Mrs. Katz wants to fill the sphere, what is the volume in cubic centimeters that she can fit into the beaker? round your answer to the nearest hundredth.

Answers

The volume of the spherical beaker is 1436.76 cubic centimeters

How to determine volume a spherical beaker?

In order to determine the volume the spherical beaker, you need the formula for the volume of a sphere.

The volume of sphere is given by the formula:

Volume of sphere = 4/3 πr³

where r is the radius of the sphere

Since the spherical beaker that measure 14 centimeters in diameter. The radius of the beaker will be:

radius = 14/2 = 7 cm

Volume of the spherical beaker =  4/3 × π × 7³

Volume of the spherical beaker = 1436.76 cubic centimeters

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Can anyone be my todor im 12 in 7th grade i need help with math?​

Answers

Answer:

I can help you for free if you want!

Step-by-step explanation:

I'm in 11th grade, so I know most 7th-grade math things.

PLS HELP ASAP I DONT NNOW HOW TO DO THIS

Answers

Answer:

I think you do know how because where the point is now is correct!!

what is x^2(2x^2+8)?

Answers

Answer:

2[tex]x^{4}[/tex] + 8[tex]x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex](2[tex]x^{2}[/tex] + 8)  When you are multiplying powers that have the same bases, you add the exponents.

x^2(2x^2+8) = 2x^4 + 8x^2



x^2(2x^2+8)
= x^2 * 2x^2 + x^2 * 8
= 2x^4 + 8x^2

Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. how much money did Priya raise? Help please its due tomorrow!!!

Answers

There are 100 pennies in 1 dollar, so Priya collected 2400/2.5=<<2400/2.5=960>>960 pennies.

This means Priya raised 960/100=$<<960/100=9.60>>9.60. Answer: \boxed{9.60}

Please help me no links and HURRY (extra points if right)

Answers

I think the answer is $18.63

Step-by-step explanation:

First, I added 15% to $45 = $51.75

next, I subtracted 64% from $51.75 = $18.63

This means Ben spent $18.63 on books

please help: solve for x​

Answers

Step-by-step explanation:

in an isoceles triangle (both legs have identical length) the height from the top corner to the baseline shots the baseline into 2 identical halves.

so,

6x + 6 = 9x - 15

6 = 3x - 15

21 = 3x

x = 21/3 = 7

many greetings to your teacher from me : he/ she made a formal mistake. the angles at Y have to be indicated as right angles. because if the line WY is not the height but could have any angle with the baseline, this cannot be solved.

You install 580 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 144 feet. What is the length of the yard?

Answers

Answer:   146 feet

==========================================================

Explanation:

P = 580 is the perimeter of the rectangleW = 144 is the widthL = unknown length

The units for each are in feet.

The formula tying together all three variables is

P = 2(L+W)

which is the same as saying

P = 2L+2W

We can think of it having two copies of L and two copies of W, four sides total, added together to get the full perimeter.

I'll go with the first version. Plug in the given values and solve for L

P = 2(L+W)

2(L+W) = P

2(L+144) = 580

L+144 = 580/2

L+144 = 290

L = 290-144

L = 146 feet is the length

---------------

We can confirm this by saying

P = 2(L+W) = 2(146+144) = 2*290 = 580

Or we could say

P = 2L+2W = 2*146+2*144 = 292+288 = 580

or,

P = L+W+L+W = 146+144+146+144 = 580

3x-6y=9
x=2y+3

SOMEONE HELP ME SOLVE THIS STEP BY STEP TY

Answers

Answer:

0=0

infinitely many solutions

Step-by-step explanation:

plug x=2y+3 as x into 3x-6y=9...so

3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals

if you solve its

6y+9-6y=9

0y=0

y=0

making it 0=0

you can't go further from this

Write the phrase as an expression.
7 fewer than a number s
An expression is

Answers

Answer:

u just do a variable minus 7

s-7=

Write a rule to describe each reflection.

Rule:r(?) (x,y)=(?)

Answers

Answer:

1. reflection across the x-axis (x, y) = (x, -y)

2. reflection across the y-axis (x, y) = (-x, y)

Hope this helps!

y=-2x + 11 and y= 4x + 2
(Answer for 100 brainlist!!)
Just solve the x value for the frist equation and the y value for the secound equation

Answers

x=-1.5

y=8

the answer is in the picture below

Each week Sara's science teacher gives a 15-point quiz.
Her current scores are shown in the table.

What is Sara's mean quiz score?

Answers

Answer: Sara's mean quiz score is 12

Step-by-step explanation:

Mean is the Sum of the Terms divided by the number of terms.

If we add up every score we get 60, we then will divide this by how many scores there were (5).

60/5 = 12

Plot all of the points of the reflected figure.
You may click a plotted point to delete it.
y
-10 9 8 7 6 5
-4 3
-2
-1
10
9
8
7
6
сл
2

$
co
4
-5

19
N
3
4
5
6
7
8 9
10
-x

Answers

Just re dot the points like mirror it on where ever on the graph

How do you plot a reflection on a point?

Use the same x-coordinate and the y-opposite coordinate's to reflect a point on the x-axis. Use the same y-coordinate and the x-opposite coordinate's to reflect a point on the y-axis.

A point can be reflected in the x-axis, y-axis, or both axes.

Due to identical x-coordinates and opposing y-coordinates, the red spots on the x-axis are mirror reflections of one another. Thus, in opposing directions and 3 units away from the x-axis, are the red spots. A reflection in the x-axis is shown by the red spots.

Due to the identical y-coordinates and opposing x-coordinates, the blue spots on the y-axis are mirror reflections of one another. the blue points are thus

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You are running a concession stand at a football game. You are selling snacks and sodas. Each order of nachos costs $2 and each soda costs $1.50. At the end of the night, you made a total of $125. You sold a total of 76 nachos and sodas combined. You must report the number of nachos sold and the number of sodas sold. What equations did you use to solve this

Answers

The equations are n + s = 76 and 2n + 1.50 s = 125.

let n = number of Nachos sold

let s = number of sodas sold

Two equations are presented to us, and we can use them together to solve one variable at a time.

Eq. 1: n + s = 76

Eq. 2: 2n + 1.50 s = 125

So, s = 76 - n

Put (76 - n) for s in the second equation

2n + 1.50 (76 - n) = 125

2n + 114 - 1.50 n = 125

2n - 1.50 n + 114 = 125

0.5n + 114 = 125

0.5n = 125 - 114

0.5n = 11

n = 22

s = 76 - 22

s = 54

22 nachos sold and 54 sodas sold.

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Jayden has been reading a 275275275-page book for English class. On average, he has read about 101010 pages in 151515 minutes (\text{min})(min)(, start text, m, i, n, end text, ). With a deadline looming, Jayden realizes that he won't finish in time unless he skims through the rest of the book. If he skims the book, he can cover 151515 pages in 10\,\text{min}10min10, start text, m, i, n, end text. If it takes Jayden 555 hours and 50\,\text{min}50min50, start text, m, i, n, end text to finish the book (reading and skimming combined), how many pages did Jayden have to skim through

Answers

Jayden had to skim through an amount of 75 pages, in the given word problem.

What is word problem?

A word problem is a few sentences that describe a "real-life" scenario in which a problem must be solved using a mathematical calculation.

Word problems are regarded as an important part of the primary curriculum because they require children to apply their knowledge of various concepts to'real-life' scenarios.

Let S = no. of skimmed pages

Let R = no. of read pages

Then S + R = 275

So R = 275 - S

Reading rate = 15 min/10 pages

Skimming rate = 10 min/15 pages

Total time to finish book = 350 min

So,

(R)(Reading rate) + (S)(Skimming rate) = 350 minutes

Substituting the values:

(275-S)(15/10) + (S)(10/15)=350

Multiplying equation through by 30 yields:

12375 - 45S + 20S = 10500

Combine terms

1875=25S

S = 75

Thus, Jayden had to skim through an amount of 75 pages.

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What is the mean? If the answer is a decimal, round it to the nearest tenth. 2 -5 9 6 -7 5​

Answers

Answer:

1.7

Step-by-step explanation:

Adding together all the points, you get 10. 10 divided by 7 is 1.666666667, which rounds to 1.7

About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water

Answers

Answer:

75 of his weight is water

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

The answer is 75

Answer: 75 pounds

Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75

                                                                                -Damien Kubinec

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