If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?

Answers

Answer 1

Answer:

Step-by-step explanation:

First, calculate the volume of the first cylinder

V= pi * r^2 * h

= pi * r^2 * 9 = 9 pi r^2

Volume of the second cylinder

V = pi * (2r)^2 * 9 = 36 pi r^2

the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4

Answer 2

The number of cylinders that can be filled is given by the equation A = 4

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the first cylinder be V₁

The radius of cylinder 1 = r

The height of the cylinder 1 = 9 inches

Let the volume of the second cylinder be V₂

The radius of cylinder 1 = 2r

The height of the cylinder 1 = 9 inches

Now , the volume of cylinder 1 is V₁ = πr²h

Substituting the values in the equation , we get

V₁ = 9πr²

Now , the volume of cylinder 2 is V₂ = πr²h

Substituting the values in the equation , we get

V₂ = 9π ( 2r )²

V₂ = 36πr²

And , the number of cylinders that can be filled is A = V₂ / V₁

On simplifying the equation , we get

The number of cylinders that can be filled is A = 36πr²/9πr²

The number of cylinders that can be filled is A = 4 cylinders

Hence , the number of cylinders is 4

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Related Questions

The coordinates for a quadrilateral are A(3, 5), B(7, 5), C(8, 3) and D(4, 3). Determine the type of quadrilateral.
Group of answer choices

Rectangle

Parallelogram

Square

Rhombus

Answers

Answer:

Rhombus

Step-by-step explanation:

Just graph on the coordinate grid.

Answer:

Parallelogram

Step-by-step explanation:

You have to put the coordinates in a Cartesian diagram and connecting the points you will find the figure

OVER HERE WALKER
What is the circumference of a circle with a diameter of 21 cm ?

Answers

Answer:

65.97

Step-by-step explanation:

HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST

Answers

Answer:

The answer is D

Step-by-step explanation:

Which statement is true?
A. 6 > 6
B. –8 < –3
C. 5 < –6
D. –12 > –6

Answers

Answer:

B

Step-by-step explanation:

hope this helps.......

Answer:

my answer is B

Step-by-step explanation:

I know this because I just took a test on this and got it right.

John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?

Answers

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

O terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical. Se antes do aumento o terreno tinha o formato de um quadrado de lado x, qual a nova área após os aumentos?

Answers

Answer:

New area of Eduardo's farm after the increase = x² + 4x + 4

Nova área da fazenda de Eduardo após o aumento = x² + 4x + 4

Step-by-step explanation:

English Translation

The land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically. If before the increase the land was shaped like an x-side square, what is the new area after the increases?

Solution

The previous area of Eduardo's farm is the are of a square with side lenght of x.

Area of a square = (side length)² = x²

Then, the land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically.

New horizontal length of Eduardo's farm = (x+2)

New vertical length of Eduardo's farm = (x+2)

New area of Eduardo's farm = (x+2)(x+2)

= x² + 4x + 4

In Portugese/Em português

A área anterior da fazenda de Eduardo é a de um quadrado com comprimento lateral de x.

Área de um quadrado = (comprimento lateral)² = x²

Em seguida, o terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical.

Novo comprimento horizontal da fazenda de Eduardo = (x + 2)

Novo comprimento vertical da fazenda de Eduardo = (x + 2)

Nova área da fazenda de Eduardo

= (x + 2) (x + 2) = x² + 4x + 4

Hope this Helps!!!

Espero que isto ajude!!!

There’s three answers

Answers

Answer:

D

E

F

Step-by-step explanation:

Because as long as they stay the same they can just be mixed.

x² + 6x +8=0
In factoring algorithm

Answers

Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

YALL I NEED HELP MY DUMBSELF FORGETS TO DO THESE STUFF SMH

CAN U ALSO EXPLAIN HOW U GOT THE ANSWER PLZ THXX
I need to find the area

Answers

Area=1/2 x b x h
=1/2 x 7 x 3
= 21/2
=10.5

Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 30 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.5 seconds, he was 7.5 meters below the edge of the volcano. How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?

Answers

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

what is a unit rate?​

Answers

Answer:

A unit rate is like a calculator or price per unit. that you will have to divide the numerator by the denominator.

Step-by-step explanation:

Example: "A motorcycle travels 230 miles on 4 gallons of gasoline." basically you will have to find the average mileage per gallon of how much that motorcycle used.

I'm not sure if this helped. sorry

It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?

Answers

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

  3 men would  obviously take  less time to paint the same fence;

            2 men= 6 hrs

            3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

                                                                                                = 4 hrs

WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.

Answers

[(81*3.14)/4] - (81/2)

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Solve for angle C.




Answers

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

[tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan=\frac{21}{25}[/tex]

[tex]tan^-^1=40[/tex]

Im thinking the answer could be 40

The chart indicates the time, speed, and velocity of five runners.

A 4-column table with 5 rows. The first column labeled runner has entries Garreth, Luigi, Elisa, Jasmine, Logan. The second column labeled total time has entries 45 minutes, 35 minutes, 40 minutes, 35 minutes, 35 minutes. The third column labeled speed has entries 6.2 miles per hour, 5.0 miles per hour, 6.2 miles per hour, 5.0 miles per hour, 5.6 miles per hour. The fourth column labeled velocity has entries 5.5 miles per hour west, 4.3 miles per hour east, 5.5 miles per hour west, 4.0 miles per hour south, 4.0 miles per hour north.
Which best describes the runners?

A.Garreth and Elisa ran the same distance but not the same displacement, Luigi and Jasmine went the same displacement, and Logan ran faster than Jasmine.
B.Garreth ran farther than Luigi, Elisa and Jasmine went the same distance, and Logan and Jasmine has the same displacement in the opposite direction.
C.Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
D.Garreth ran less than Logan, Elisa and Jasmine went the same displacement, and Luigi and Garreth ran together.

Answers

Answer:

c (just took the test)

Step-by-step explanation:

Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.

As per the given information, in which the time, speed, and velocity of five runners, the statement that gives the best description about the runners is: “Garreth and Elisa ran ………..  in the opposite direction.” Hence, Option C is correct.

Who are called runners?

From a cardiovascular aspect, runners are highly fit athletes, but they frequently struggle with their balance, upper body strength, and glute power. Sports that use different muscles and gaits are recommended for runners.

While sprinters are taller and significantly more muscular, long-distance runners often have a shorter, lighter build. The types of workload each runner endures are a direct result of the differences between these two body types.

Logan and Jasmine moved in the opposite direction at the same speed as Jasmine, while Garreth and Elisa ran side by side. Luigi and Jasmine also covered the same distance.

Therefore, Option C is correct.

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What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .

Answers

Divide any term by the one before it, and you'll get the ratio. -20/4=-5

Can someone help me

Answers

Answer:C

Step-by-step explanation:

11(4t + 1) whats the answer

Answers

Answer:

44t + 11

Step-by-step explanation:

[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]

Answer:

the answer is attached to the picture

2/7 as a percent to the nearest whole number

Answers

29% (.285 is 29 percent rounded because u have to move two decimals to the right to get your percentage)

What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?

Answers

Answer:

y=-2x+9

Step-by-step explanation:

1. Make m value opposite of og m value.

2. Then plug in variables x and y into the equation

3. Solve for b

-1 = -2(5) + b

9 = b

4. You have the answer

What is the Volume of the triangular prism, in cubic centimeters?

Answers

Answer: the answer is approximately 45.6

Step-by-step explanation:

Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive

Answers

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

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LUI
• Chicken nuggets, burger, hot dog
Apple Juice or milk
French fries or fruit
HOOD
8
The list below shows some of the possible
outcomes. List the missing possible outcomes
below.
ter and
ps the
- only
nd a
Chicken nuggets, apple juice, French fries
Chicken nuggets, apple juice, fruit
Chicken nuggets, milk, French fries
Chicken nuggets, milk, fruit
Burger, apple juice, French fries
Burger, milk, French fries
Burger, apple juice, fruit
Hot dog, apple juice, French fries
Hot dog, milk, French fries
Hot dog, milk, fruit

Answers

Answer:

cool cool no c um hi hi hi hi hi hi hi hi hi hi hi hi hu x

Andre' went to the store where 3 bags of gummie bears were $6.30. How many were 7 bags of gummie bears?
3 bags of gummie bears/$6.30 =7 bags of gummie bears
True
False

Answers

Answer: false

Explanation:
False, I had this on a quiz and got it correct

please help will give brainliest

Answers

Answer:

PLEASE GIVE BRAINLIEST IT IS 118

Step-by-step explanation:

(18x+28)+(7x+27) equals 180 degrees

25x+55= 180

25x=125

x=5

THIS MEANS THAT ANGLE ABC IS

18(5)+28.

90+28.

118 degrees. And since angle abc is equal to efg that is your answer.

Answer:

efg=abc

Step-by-step explanation:

18x+29+7x+27=180

25x+56=180

25x=124

x=124/25

18(124/25)+29= 118.28 or rounded 118

I want brainliest!!!

The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.

PLEASE HELP....NEED TO SUBMIT IT NOW......

Answers

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

How would you write and equation for a circle with a radius of 5 , centered at the point (-3,2)

Answers

Answer:

[tex](x+3)^{2} + (y-2)^{2} = 25[/tex]

Step-by-step explanation:

Please help me with those questions please please help

Answers

a) Tan(38) = x/6
x = 6*Tan(38)
x = 4.69
b) Tan(75) = x/13
x = 13*Tan(75)
x = 48.52

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6


The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each outcome.

Answers

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

Probability to get less then 4 = 9 / 50

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