A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.

Use pi = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

Answers

Answer 1

Answer:

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

Step-by-step explanation:

Diameter of cylinder = 8 inches

Diameter of cone = 8 inches

Height of cylinder = 9 inches

Height of cone = 18 inches

We need to find the relationship between the volume of this cylinder and this cone.

First we will find volume of the cylinder

The formula used is: [tex]Volume=\pi r^2h[/tex]

We have

Diameter of cylinder = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cylinder = 9 inches

Putting values and finding volume

[tex]Volume=\pi r^2h\\Volume=3.14\times (4)^2 \times 9\\Volume=452.16[/tex]

So, Volume of cylinder = 452.16 inches³

Now, we will find volume of the cone

The formula used is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]

We have

Diameter of cone = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cone = 9 inches

Putting values and finding volume

[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14 \times (4)^2 \times \frac{18}{3}\\Volume=3.14 \times (4)^2 \times 6\\Volume=301.44[/tex]

So, Volume of cone = 301.44 inches³

Now, comparing volume of both cylinder and cone.

Volume of cylinder = 452.16 inches³

Volume of cone = 301.44 inches³

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).


Related Questions

If f(x)=3x-1 and g(x)=2x2-3, fill in the blank f(2) _____ 9(3)?
1.<
2. >
3.< with line under
4.> with line under

Answers

Answer:

f(2)          <       g(3)

The correct option is;

1. <

Step-by-step explanation:

The given function parameters are;

f(x) = 3·x - 1, g(x) = 2·x² - 3

For f(x) = 3·x - 1, when x = 2, we have;

f(2) = 3·x - 1 = 3 × 2 - 1 = 5

For g(x) = 2·x² - 3, when x = 3, we have;

g(3) = 2 × 3² - 3 = 18 - 3 = 15

Therefore, we have;

f(2) = 5 < g(3) = 15

Which gives;

f(2) < g(3)

Simplify the following expressions (pleas help I know it’s a lot...)

Answers

Answer:

1. C

2. A

3. C

Hope this helps :)

Step-by-step explanation:

IS IT A OR B OR C OR D

Answers

Answer:

its b or c       hope this helps

Step-by-step explanation:

can i please have brainliest

Use compatible number to estimate the quotient 635 divided by 9

Answers

Answer:

127

Step-by-step explanation:

dont ask me to explain

-72 = -8(11 + s)
what value of s is a solution to this equation ?

Answers

The value of s would be -2

So -2=s

5 The graph of a proportional relationship is given along with an equation for a different relationship. Which situation has a greater unit rate? A) B) y=-x+4 C) Neither, the unit rates are the same 5+ 0.2 0.4 0.6 0.8 1.0 1.2 1.4​

Answers

Answer:

b

Step-by-step explanation:

Eight over 9 and negative fifteen over sixteen

Answers

Answer:

Hi! The correct answer is -5/6

Step-by-step explanation:

~Simplify the Expression~

A quantity with an initial value of 1700 grows exponentially at a rate such that the quantity doubles every 5 years. What is the value of the quantity after 81 months, to the nearest hundredth?

Answers

Answer: 4333.51

Step-by-step explanation:

The value after 81 months is 4333.51.

Given initial value=P=1700

Time=t=81 months= [tex]\frac{81}{12} =6.75[/tex] years.

Doubling time = d = 5 years.

So, the value after 6.75 years is:

[tex]A=P(2)^{\frac{t}{d} } \\A=1700(2)^{\frac{6.75}{5}}\\ A=4333.50613289\\A=4333.51[/tex]

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PLEASE HELP!! VERY IMPORTANT!!! THIS IS 10 POINTS !!! ILL MARK FIRST PERSON BRAINLIEST!

Answers

Answer:

y=4x-2

Step-by-step explanation:

What is the value of x in the equation 2x - 3 = 9- 4x? o 6 o 3 O 1 02​

Answers

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x ( add 4x to both sides )

6x - 3 = 9 ( add 3 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

The measure of {x} in the equation -3 = 9 - 4x is {x} = 3

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the value of {x} for the equation -

- 3 = 9 - 4x

The given equation is -

- 3 = 9 - 4x

We can write that -

- 3 = 9 - 4x

4x = 9 + 3

4x = 12

x = 3

Therefore, the measure of {x} in the equation -3 = 9 - 4x is {x} = 3.

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A rectangular crate of bottles holds 72 bottles. The rows across the width of the crate hold 1 bottle less than the rows across the length of the crate.
How many bottles are there in the longer rows?
Write an equation where b is the number of bottles in the longer rows that can be used to solve this problem.

Answers

Answer:

The equation is:

72 = (b - 1)*b = b^2 - b

And the solution to this problem is:

b = 9

So we have 9 bottles in each one of the longer rows.

Step-by-step explanation:

Let's use the variables:

b =  number of bottles in the longer rows

a = number of bottles in the shorter rows.

We know that the total number of bottles in the crate will be equal to the product between a and b.

then:

72 = a*b

And we also know that

"e rows across the width of the crate hold 1 bottle less than the rows across the length of the crate."

This means that

a = b - 1

Now, we could replace this in the above equation to get:

72 = (b - 1)*b = b^2 - b

Then we have the quadratic equation:

b^2 - b - 72 = 0

The solutions of this equation can be found if we use Bhaskara's formula, the two solutions are:

[tex]b = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-72)} }{2*1} = \frac{1 +- 17}{2}[/tex]

Then we have two solutions:

b = (1 - 17)/2 = -16/2 = -8  (this is a negative number, and has no meaning in our case, then this solution can be discarded)

the other solution is:

b = (1 + 17)/2 = 18/2 = 9

This is our solution, the larger rows have 9 bottles each.

Can someone please help me with this!

Answers

Answer:

Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse

Step-by-step explanation:

Sue's kayaking path is the hypotenuse of a right triangle.

so we use a squared + b squared = c squared

10.5^2+3.2^2=c^2

110.25+10.24=c^2

120.49=c^2

10.9768=c

and then because it said to round to the nearest tenth that would be 11.0 miles.

She's going at an average speed of 3.3 mph

that means it takes her about .3 hours to do 1 mile

so it would take her 3.3 hours to go 11 miles

marty is going at an average speed of 7 mph

so she takes 0.14 hours to go 1 mile

0.14 x 25 = 2.5

questions on photo!
x is sad​

Answers

Answer:

The numbers are 1 and 5

Step-by-step explanation:

Answer:

The numbers are 5 and 1.

Step-by-step explanation:

First, define your variables.

[tex]x=first number\\y=second number[/tex]

Next, use the information given to make the linear system.

[tex]x+y=6\\x-y=4[/tex]

Finally, use elimination to solve for the first number then substitute to find the second number.

[tex]x+y=6\\x-y=4\\-------[/tex]

[tex]2x=10\\x=5[/tex]

[tex]5+y=6\\y=1[/tex]

Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon due to an extra credit question. What percent did she earn on the quiz?

Answers

Vineisha earned 110 percent on the science quiz which was about the phases of the moon.

How to calculate the percent earned ?

Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon

The percent earned can be calculated by dividing 20 by 22 and then multiplying the result by 100

22/20 × 100

= 1.1 × 100= 110

Hence the percent she earned on the quiz is 110%

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Simplify the expression:
7s2+9+–2s2

Answers

Answer:

5s² + 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

7s² + 9 + -2s²

Step 2: Simplify

Rewrite:                               7s² + 9 - 2s²Combine like terms (s²):     5s² + 9

I am stuck on this question please help me:)

Answers

Answer:

Step-by-step explanation:

the answer is 270

hope this helps

Answer:

c 270

Step-by-step explanation:

it just flips around the center

Matthews aunt started a saving account of $125 for him when he was a infant the account is now 750% of the original size how much less then $1000 is in the account now?

Answers

Answer:

$62.5

Step-by-step explanation:

Given that:

Initial value of account = $125

Percentage growth of account = 750% of initial value

Worth of account now : (750% of $125) = (750/100) * $125 = 7.5 * $125 = $937.5

Amount less than $1000 in account :

$1000 - $937.5 = $62.5

This is not much but I need help I will mark u the Brainly Watever 23 points!!!!!

Answers

Answer:

one bgejeyjyegarnurgenehm47

22. Simplify as fully
as
possible 28:42 *
O
14:21
1:1.5
3:2
0 2:3

Answers

Answer:

2:3

Step-by-step explanation:

2 : 3

divide both numbers by 14

Calculate the following interest : 15% of $70 for 7 years

Answers

After investing for 7 years at 15% interest, your $70 investment will have grown to $186.20

explanation:
You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.

I need help with these two pls

Answers

Answer:

1)D

2)A

Step-by-step explanation:

1)[tex]-7a-2x+5a-6x\\-7a+5a-2x-6x\\-2a-8x[/tex]

The last choice is the correct answer.

2)

[tex]16bc-8ab=8b(2c-a)[/tex]

The answer is the first choice

PLEASE MARK ME AS BRAINLIEST

Determine the shaded area shown in the figure below.

Answers

i think it’s 30 yds ‍♀️

n a coordinate grid, Jeff’s house is located at point (2, 6) and Vicki’s house is located at a point ( 2, 12). Chloe’s house is halfway between Jeff’s house and Vicki’s house. On the coordinate grid, where is Chloe’s house located?

Answers

chloe’s house is located at (2,9)

Identify the slope and y-intercept
y = -2/3x -3
m =
b =

Answers

Answer:

m=-2/3     b=-3

Step-by-step explanation:

please help! can you show work??

Answers

Answer:

yes it for sure

Step-by-step explanation:

the 2AM 3has and the same 3AM are a different 3person than you would be in a different type and you are a good thing to be in a different person and then use

Reflect (-5,3) over the x-axis. Then translate the result down 2 units. What are the coordinates of the final point?

Answers

Answer: (-5, -5)

Step-by-step explanation: Reflection is a transformation in which there is a flip of the figure, object or point.

In our case, the point is reflected over the x-axis. When this happens, the y-coordinate of the point "flips", turning negative. So, thepoint reflected over the x-axis is (-5, -3).

Translation is also a transformation. In this transformation, the object figure or point moves a fixed distance, without changing the shape. When it is translated horizontally, the x-coordinate changes: if it is to the right, we add units; if it is to the left, we subtract units.

When the translation is vertical, the y-coordinate changes: if it is up, add units; If it's down, subtract units.

After the reflection, the now point (-5, -3) is translated down 2 units. Then, the change will be:

(-5, -3) = (-5, -3-2) = (-5, -5)

The final coordinates for the point, after reflection and translation, is (-5,-5).

Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2

Answers

To compute the limit

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]

notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]

but again, this returns the indeterminate form 0/0. Applying again gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]

so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.

So the limit is 1/16.

A random sample of 80 south soccer players revealed that 70 really do enjoy the game. If there are 300 players in the league, how many would be expected to say that they really enjoy playing soccer?

HELP PLZ!!

Answers

Answer:

262.5 are expected

Step-by-step explanation:

do 70 divided by 80 and that gives you 0.875

then multiply 300 x 0.875 = 262.5 people

HELP!!

PLEASE HELP ME WITH THESE QUESTIONS​

Answers

Answer:

1). Parallelogram.

2). I don't know what they are asking for number two.

3). 2/3

4). Center of Mass

Step-by-step explanation:

I asked for help

The ratio of students wearing sandals to those wearing sneakers is 5 : 1. If there are 30 students in the class, and all of them are wearing either sandals or sneakers, how many of them are wearing sandals?can someone anwser this plz:(

Answers

Step-by-step explanation:

5:1 = 5

1

= 5 × 30

1

any standing alone is on one so

6 × 30

1 1

180

1

180

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