What is the difference between the formula of the volume of the cylinder and the volume of a cone? What do the formulas have in common?

Answers

Answer 1

Answer:

The volume of the cylinder is 3 times the volume of the cone

Step-by-step explanation:

The formula for the volume of the cylinder is given by :

[tex]V_{cy}=\pi r^2 h[/tex] .....(1)

Where

r and h are the radius and the height of the cylinder

The formula for the volume of the cone is given by :

[tex]V_{cone}=\dfrac{1}{3}\pi r^2h[/tex] ...(2)

From equation (1) and (2),

[tex]\dfrac{V_{cy}}{V_{cone}}=\dfrac{\pi r^2 h}{\dfrac{1}{3}\pi r^2 h}\\\\=3\\\\V_{cy}=3\times V_{cone}[/tex]

So, the volume of the cylinder is 3 times the volume of the cone.


Related Questions

Can somebody pls help me

Answers

Answer:

this is a right angled triangle

so by the Pythagoras theorem

h2 = √ p2+. b2

h2 = √2 square + 6 square

h2 = 4+ 36

h2 = 40

h = √40

h = 20

Answer:

c=6.3cm

Step-by-step explanation:

6²+2²=c²

36+4=c²

40=c² -> (√40 ≈ 6.32)

6.32 ≈ 6.3

I’m not sure what to answer.

Answers

I’m not 100% sure but i think it’s:

(9-r)^4

Megan added 57+68 by breaking apart the number by place value. She made a mistake. Click on the first line in her work where there is a mistake

Answers

Answer:

Need to see the line to see where the mistake is

Step-by-step explanation:

I'm brain feels squishy.​

Answers

Answer:

x = 9 (it is seriously not drawn to scale)

Step-by-step explanation:

BC = DC^2 + BD^2 (Pythagorean theorem)

BC = 4^2 + 6^2

BC = 16 + 36

BC = 52^2

BC = 2sqrt13

BC/AB = DC/BD

(2sqrt13)/AB = 4/6

6(2sqrt13) = 4(AB)

12sqrt13 = 4AB

3sqrt13 = AB

AC^2 = AB^2 + BC^2 (Pythagorean Theorem)

AC^2 = (3sqrt13)^2 + (2sqrt13)^2

AC^2 = 117 + 52

AC^2 = 169

AC = 13  

AD + DC = AC

AD + 4= 13

AD = 9

which number is greater then -3 A.-1 B.-3 C.-5 D.-7

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-1 = 1

Can someone help me please

Answers

It’s a left side 8’5 right????

find the value 2x-18=y when x=-10

Answers

Answer:

y=-38

Step-by-step explanation:

First we have to put the x value in

2(-10)-18=y

-20-18=y

-38=y

Ashley is saving for a computer that costs $500. She has saved up $120
so far. Which inequality represents the amount of money, m, Ashley still
needs to save? *
O m > $120
O m<$120
O m< $380
O m > $380

Answers

Answer:

m > $380

Step-by-step explanation:

First, the math:

$500-$120= $380.

She still needs $380.

Her $380 still needed is less than m, which gives us the last answer the most logical.

I hope this helped! Have a nice day.

What is the smallest possible value for x when
1
2
x
plus 5 is greater than or equal to 3?

A.
–2

B.
–3

C.
–4

D.
–5

Answers

Answer:

a

Step-by-step explanation:

a square has an area of 49 cm2. what is the length of each side?​

Answers

Answer: 24.5

Step-by-step explanation:

HELP ASAP DUE LAST WEEK

Answers

Answer:

its 120 lol

do 3x10=30 and then 30x9=120

Answer:

The surface area is 294 inches squared

Step-by-step explanation:

9 x 3 = 27 x 2 = 54

10 x 3 = 30 x 2 = 60

9 x 10 = 90 x 2 = 180

54 + 60 + 180 = 294

please show your explanation <3

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

A.) 604.2

B.) 607.5

C.) 12.5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

answer ALL for ( brain-list, thanks, 5 star review)
don’t have to answer all* at least 2

Answers

Answer:

7a) 1/6

7b) 7/12

7c) 3/2 or 1 1/2

7d) 61/10 or 6 1/10

Step-by-step explanation:

If you need me to explain, please let me now in comments, otherwise, please mark this answer as brainliest

2=X - 3
X=
-5-4-3-2-1 0 1 2 3 4 5

(numbers above are a number line)

Answers

-5 -4 -3 -2 -1 0 1 2 3 4 5

2= X -3

2+3=5

X= 5

Please help me heres the question: Ms. Zanetti receives text messages throughout her work day from her daughter’s day care provider. The possible number of text messages that she receives in a given day and the probabilities are given in the table.PLEASE SEND ANSWER ASAP

Answers

Answer:

blahaha

Step-by-step explanation:

hahaha

Which graph represents the solution to the linear system
Sy=-3x-5
-5?
y= 3x +1

Answers

Answer:

Step-by-step explanation: both graphed is D

The graph D represents the solution of the system of the equation.

What is the system of equation?

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given, the system of equation;

y = -3x - 5  {equation 1}

y = 3x + 1  {equation  2}

Add both of the equation:

2y = -4

y = -2

And x = 1

And the solution set is (1 , -2).

And only D have the solution set (1 , -2)

Therefore, the graph D represents the solution of the system of the equation.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ5

perform the division of monomials
18x⁶y²z⁵/6x³yz²​

Answers

Answer:

3x³yz³

Step-by-step explanation:

18x⁶y²z⁵/6x³yz²​ = 18/6 x⁶⁻³ y²⁻¹ z⁵⁻² = 3x³yz³

What is the value of X

Answers

Answer:

112*

Step-by-step explanation:

The easy way to figure this out is to take the two numbers we do have and add them together. 50 + 62 = 112

We now now the complete angle if that line was not there in the middle. and sice that angle is the same at angle X it is automatically the same, 112. If you don't understand please comment and let me know.

Use the​ add-on method for determining interest on a loan of ​$​,2540 with an annual rate of 6​% and a term of 4 years.​ Then, determine the annual interest rate during the last month of the loan.

Answers

Answer:

Part A

The interest on the loan is $609.6

Part B

The interest amount on the last month is $12.7

Step-by-step explanation:

Part A

With the add-on interest method, the interest on the loan is added before the monthly payment is determined

The monthly payment, A = (P × I)/n

Where;

A = The amount payed monthly

P = The principal amount borrowed = $2,540

I = The interest on the loan = P × R × T

R = The interest on the loan = 6%

T = The duration of the loan = 4 years

n = The number of monthly payment = 4 × 12 = 48

Plugging in the variables to the simple interest formula, we get;

I = $2,540 × 6/100 × 4 = $609.6

The interest on the loan, I = $609.6

Part B

The monthly payment is therefore;

∴ A = ($2,540 + $609.6)/48 = $65.61[tex]\overline 6[/tex]

The amount payed as interest on the last month, [tex]I_m[/tex], is given as follows;

$65.61[tex]\overline 6[/tex] - $2,540/48 = $12.7

The amount payed as interest on the last month = $12.7

WILL MARK BRAINIEST 15 POINTS
A.120 cm^3 B. 117 cm^ C. 101 cm ^3 D. 350 cm ^3

Answers

Answer:

B. 117 cm

Step-by-step explanation:

you just multiply them :)

Answer:

117 cm³

(Answer B)

Step-by-step explanation:

The volume is the product of the base area and the height, that is,

V = 13 cm² * 9 cm = 117 cm³

Find the percent of increase from 28 songs to 57 songs

Answers

Answer:

103.5714286%

or 103.57

The actual length of a building is 168 feet and its width is 152 feet. If the scale length of the bulding in the drawing is 21 inches and the width is 19 inches what scale was used in the drawing

Answers

Answer:

40

Step-by-step explanation:

Answer:

1 inch = 8 feets

Step-by-step explanation:

Actual Length = 168 feets

Scale length = 21 inches

168 / 21 = 8

Actual width = 152 feets

Scale width = 19 inches

152 / 19 = 8

Hence, we can conclude that

Scale used :

1 inch = 8 feets

That is 1 inch in drawing equals 8 feets of the actual size

What is the equation of the line that passes through the two points (2,3) and (-2,5)

Answers

Answer: -1/2

Step-by-step explanation:

You want to find the equation for a line that passes through the points.

We use formula y2-y1/x2-x1

5-3/-2-2 = 2/-4

= -1/2

HELP i have no clue how to do this hahah

Answers

C is the correct answer!2/59/?2 x ? = 99 ÷ 2 = 4.52 x 4.5 = 95 x 4.5 = 22.5

Given the following diagram, find the missing measure. Given: PMIMO 2 P m2 = 30°, m P= 30 60 90 120​

Answers

Answer: angle p = 60°

Steps:
90° + 30° + p = 180°
120° + p = 180°
p = 180° - 120°
p = 60°

Check:
90° + 30° + p = 180°
90° + 30° + 60° = 180°
180° = 180° ✅

I would appreciate brainliest If this was correct and help! :)

Simplify the expression. (x-4 x² + 7) - (-5x² + 5x - 3)​

Answers

x^2 - 4x + 10

sorry if there is no explanation but i hope this helps :)

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

a)  $498

b) $1052

c) $554

Step-by-step explanation:

to find the median of lower half of data:  find median of all the data, then find middle value from the minimum value to the median (not including median)

to find the median of upper half of data:  find median of all the data, then find middle value from the median to the maximum value (not including median)

interquartile range (IQR) is the difference of the two

pls help, solve for a.

Answers

A equals -1/2 is the right answer

Ariana went shopping for a new video game.The listed price of the video game was $36 but the price with tax came to $37.08.Find the percent sales tax

Answers

Answer:

3% aka 0.03

Step-by-step explanation:

Simplify
7 x 7 x 7 /
7 x 75
Please do it quick if you can

Answers

Answer:

7^3/7(75)

Step-by-step explanation:

This is this simplified answer. If you don't understand anything please let me know

Answer:

3675

Step-by-step explanation:

Use the order of operations. Just go from left to right. So, 7 times 7 equals 49. Then, 49 times 7 equals 343. Then, divided by 7 equals 49. 49 times 75 equals 3675. I hope this helps.

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Your dinner bill was $37.90 with 8% tax and 19% tip.What was the final price?A TaxB. Tip C. Final Price Guys pls help me!!!!!! Can Somebody help me real fast? hope this helps with life lol ;) PLEASE HELP!!!!!!!!!Assume the random variable x is normally distributed with a mean of 45 and standard deviation of 12. Find P (x > 40 ). What is the equation of the line that passes through the point (3, 3) and has a slopeof o? 4.5% of what number is 99? You are in the park near your house and notice a man staring at you. He appears suspicious and you suddenly feel afraid. Which of the following is the BEST thing to do? 2Write the ratio 2kg: 500g in its simplest form only answer if you know!!!!!!!which of the following is not associated with chinese civilization?1) the development of a civil service system2) the development of block printing 3) the inention of aqueducts4) the invention of gun powder I NEED HELPLPLIn rhombus MATH, find the value of xif mZMAH=5x+12 and mZHAT=8x-12.If the answer is 13.8, move to TIf the answer is 12, move to uIf the answer is 8, move to vIf the answer is 0, move to w Which of the expressions below has a 6 in the hundredths place of the product? Select all that apply. A) 3.3 x 4.4 B) 2.36 x 16C) 14.4 x 5.4D) 9.6 x 5.21 The population of Australia was 14.692 million in 1980 and 17.065 million in 1990. Estimate the population of Australia in 2000. A. 10.89 millionB. 17.32 million C. 19.82 million D. 23.02 million The Greek letter (delta) is used to signify _____. a) an ionb) a charged particlec) a mixed number d) a small fractione) none of the above Find the value of the expression below for x = 3. x2+ 5 A.8 B.11 C.14 Which of the following is not a landform?A. CanyonB. PlateauC. BayD. Earthquake QUESTION 1How many moles of Cl2 are needed to react with 1.15 moles of F2?Use the following balanced equation for the solving the problemCl2 + 3 F2 - 2 CIF3 WILL MARK BRAINLIEST!!!!Which of the following is a value associated with due process? Loyalty Fairness Kindness Patriotism 4d + 7 = 13 Is this an equation or an expression? Can somebody plz help answer these math questions correctly thx (only if u done this before) :3WILL MARK BRAINLIEST WHOEVER ANSWERS THESE FIRST!!!