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

Plz help me I need tu turn this is by midnight!!

Answers

Answer:

The last answer.

Step-by-step explanation:

It looks to be the correct answer because for the one above you can't simplify 27 by 5.

it’s the last choice, b/5 = 7

The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped. Find the height of the object after 0.75 seconds. Make sure and include the units of feet in your answer for full credit. Round your answer to the nearest hundredth place.

Answers

Answer:

Concept: Modeling expressions

We are given the equation [tex]200 - 16 {t}^{2} [/tex]We want to find the time after 0.75 seconds given that t is represented in seconds.Hence we do [tex]200 - 16(0.75)^{2} [/tex]Hence we get the answer to 191 feet

The height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.

We need to find the time after 0.75 seconds given that t is represented in seconds.

The expression is given

[tex]200 - 16t^2[/tex]

time t = 0.75

Substitute the value of t in the given expression

= 200 - 16(0.75)^2

= 200 - 9

= 191

Hence we get the answer to 191 feet.

Learn more about quadratic equations;

brainly.com/question/13197897

Whiskers the cat weighs 3 1/2 kg and Pilglio weighs 5 kg. How many times as heavy as pilglio is whiskers? How many times as heavy as whiskers is pilglio?

Answers

Given:

Whiskers the cat weighs [tex]3\dfrac{1}{2}[/tex] kg and Pilglio weighs 5 kg.

To find:

How many times as heavy as pilglio is whiskers?

How many times as heavy as whiskers is pilglio?

Solution:

We have,

Weight of cat (whiskers) = [tex]3\dfrac{1}{2}[/tex] kg

                      = [tex]\dfrac{3(2)+1}{2}[/tex] kg

                      = [tex]\dfrac{7}{2}[/tex] kg

                      =  3.5 kg

Weight of pilglio = 5 kg

Now,

[tex]\dfrac{Whiskers}{Pilglio}=\dfrac{3.5}{5}=0.7[/tex]

Therefore, whiskers is 0.7 times as heavy as pilglio.

[tex]\dfrac{Pilglio}{Whiskers}=\dfrac{5}{3.5}[/tex]

[tex]\dfrac{Pilglio}{Whiskers}=1.428571...[/tex]

[tex]\dfrac{Pilglio}{Whiskers}\approx 1.43[/tex]

Therefore, piglio is about 1.43 times as heavy as whiskers.

A certain ball is dropped from 204 centimeters, and has a rebound factor of 72% (The height of the ball after each bounce is 72% of the height of the bounce before.). Which equation represents the relationship between the the number of bounces, n, and height, h, in centimeters? Group of answer choices

Answers

Answer:

The equation that represents the relationship between the number of bounces and the height is [tex]H = 204\cdot 0.72^{n}[/tex].

Step-by-step explanation:

According to this exercise, we notice that maximum height of the ball ([tex]H[/tex]), measured in centimeters, is reduced at geometric rate and as a function of the number of bounces ([tex]n[/tex]), with no unit, which is defined by geometric progression:

[tex]H = H_{o}\cdot r^{n}[/tex] (1)

Where:

[tex]H_{o}[/tex] - Initial height of the ball, measured in centimeters.

[tex]r[/tex] - Bounce factor, no unit.

If we know that [tex]H_{o} = 204\,cm[/tex] and [tex]r = 0.72[/tex], then the equation that represents the relationship between the number of bounces and the height is:

[tex]H = 204\cdot 0.72^{n}[/tex] (2)

A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. Is this triangle equilateral?​

Answers

Answer:

no a equilateral triangle has the same length sides all the way around

A shipping company has 3 different sized cubed boxes. The volume of the boxes are 216in,512in,and 1000in mia needs to ship a gift with a height of 7 in what is the height in inches of the smallest box that Mia can use

Answers

Answer:

8 inches

Step-by-step explanation:

A shipping company has 3 different sized cubed boxes.

The volume of the boxes are 216in³,512in³,and 1000in³

We find the height of each volume of box.

a) 216in³,

Volume = h³

Height = cube root (216)

= 6 in

b) 512in³

= Volume = h³

Height = cube root (512)

= 8 in

c) 1000in³

Volume = h³

Height = cube root (1000)

= 10 in

Since: Mia needs to ship a gift with a height of 7 in .

Therefore: the height in inches of the smallest box that Mia can use is 8 inches (8 in)

(-2z+3)+(4+6y)+(7+3x)

Answers

Answer:

3x+6y-2z+14

Step-by-step explanation:

2p=

PLZ HELPS IT SAYS

Evaluate the expression for p=5

2p=

Is it 25???

Answers

p=5 so you have to substitute 2p for 2(5)= which is 10 i believe so
it’s 10.

explanation:
2p= —> 2(p)=

p=5

replace p with 5.

2(5) = 10.

Whoever answers gets brainly

Answers

Answer:

The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay

The percentage rate of change is 2%

Step-by-step explanation:

The formula of the exponential growth is y = a [tex](1+r)^{x}[/tex], where

a is the initial valuer is the rate of increase in decimal ⇒ (1 + r) > 1

The formula of the exponential decay is y = a [tex](1-r)^{x}[/tex], where

a is the initial valuer is the rate of decrease in decimal ⇒ (1 - r) < 1

Let us solve the question.

∵ y = 5 [tex](.98)^{x}[/tex]

→ Compare it with the forms above

∴ a = 5

∵ The rate of change is .98

.98  < 1

→ That means the rate of change is decreasing

The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay

→ From the 2nd form above

(1 - r ) = .98

→ Subtract 1 from both sides

∴ 1 - 1 - r = .98 - 1

∴ - r = - .02

→ Divide both sides by -1

r = .02

→ Multiply it by 100% to change it to a percentage

∵ .02 × 100% = 2%

r = 2%

The percentage rate of change is 2%

what is 15 decreased by 4% ?​

Answers

Answer:

14.4

Step-by-step explanation:

14.4!!!! Have a good day

I need help with Geometry

Answers

Answer:

Yes, this set of lengths can form a triangle.

Step-by-step explanation:

55+76 = 131

131 > 112

Since the sum of smaller lengths is greater than 112, these numbers can form a triangle.

I need the answer fast please!

Answers

Answer:         0.0238095238

Step-by-step explanation:

the answer is 7/6

To get the reciprocal of a fraction, just turn it upside down.
In other words swap over the Numerator and Denominator.

Write an explicit formula of an , the nth term of the sequence 22,20,18

Answers

Answer:

an =24−2n

Step-by-step explanation:

$12.99 sweater, 7% tax

Answers

.90 (ninety cents)
basically what you is you multiply the value of the sweater by the percentage of the tax

Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día anterior. ¿Cuánto tiempo nadó el último día? ¿Y a lo largo de las tres semanas? Expresa los resultados en horas y minutos.

Answers

Responder:

1 hora 55 minutos; 22 horas 45 minutos

Explicación paso a paso:

Dado que:

Tiempo el primer día = 15 minutos

Minutos adicionales cada día siguiente = 5 minutos

Número total de días

Usando la fórmula del enésimo término de una progresión aritmética:

Tn = A + (n - 1) d

A = primer trimestre = 15

d = diferencia común = 5

n = enésimo término

Tiempo de nado el último día (n = 21)

T21 = 15 + (21 - 1) 5

T21 = 15 + 20 * 5

T21 = 15 + 100

T21 = 115 minutos

= 1 hora 55 minutos

SEGUNDO.)

Suma de minutos durante las 3 semanas

Suma de n términos:

Sn = n / 2 * (primer término + último término)

Primer término = 15

Último trimestre = a21 = 115 minutos

n = número de términos = 21

Por lo tanto,

Sn = 21/2 * (15 + 115)

Sn = 10,5 * (130)

Sn = 1365 minutos

= 22 horas 45 minutos

Find the slope for these two

Answers

Answer:

1) -1

2) -1/4, 4

Step-by-step explanation:

1)

The first equation is

y = -x + 5

Comparing with

y = mx + b, we see thqat the slope, m, is -1

1) Answer: slope = -1

2)

The equations are

y = -1/4 x + 2 and

y = 4x + 8

Comparing the two equations with y = mx + b, we see that the slopes are

-1/4 and 4

2) Answer: slope = -1/4; slope = 4

Answer:

For the first one, we see that from one point to another it rises one and goes to the left one. This means the slope is 1/-1, which is -1.

For the second one, the slope of the first equation is -1/4, and the slope of the second equation is 4/1, or 4. Since the lines are perpendicular in 2, the two lines will be opposite reciprocals of each other.

If the same side interior angles is not supplementary why do we know that the lines are not parallel

I need help

Answers

Answer:

The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees

Step-by-step explanation:

Need answer ASAP. Thanks!

Answers

Answer:

The missing angle is about 27.92°.

Step-by-step explanation:

This is a tangent equation, as there is no hypotenuse value. I'll use x as the missing angle.

tan(x) = opposite/adjacent

tan(x) = 20/38

tan(x) = 0.52631578947368421052631578947368

tan(x) ≈ 0.53

Now, we have to reverse.

tan⁻¹(0.53) = x

27.92358972 = x

x ≈ 27.92°

PLZZ HELP IF CORRECT I WILL GIVE BRAINLIEST AND U WILL GET POINTS!

Answers

Answer:

Most simplified fraction from = 1/12

Decimal form = 0.08(3 repeating)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Order the polynomial -x 4 y 2 + 7x 3 y 3 - 3xy 5 + 2x 2 y 4 in descending powers of x.

Answers

Answer:

See under for the sequence

Step-by-step explanation:

The term with -X⁴ comes first because 4 is the highest power of x.

Then comes 7x³y³ because 3 is the second highest power

Then 2x²y⁴ because 2 comes next

Then -3xy⁵ because x is raised to 1 power which is the lowest

If a 6ft baby giraffe casts a 4ft long shadow then how tall is an adult giraffe that casts a 10 ft shadow

Answers

The adult giraffe will be 8 ft tall
It will be 8 feet tall

solve it 2x(5a-15)


If you want to you can explain how you got the answer if you want!

Answers

Answer:

10ax-30x

Step-by-step explanation:

Multiply 2x by the numbers inside the parenthesis

HELP I NEED HELP ASAP

(1,5), slope=-2

Write the slope-intercept equation using the given information

Answers

Y=1/5x-2
Hope this helped :)

A.) 30yd2 B.) 6.5yd2 C.) 13yd2 D.)15yd2

Answers

Answer:

D. 15yd^2

Step-by-step explanation:

Area of triangle: A = bh/2

A = 10(3) / 2

A = 30 / 2

A = 15yd^2

what is the y intercept

Answers

Answer:

2

Step-by-step explanation:

Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?
a) 7/10
b) 2/5
c) 5/7
d) 2/7

​pls help

Answers

Answer:

3/5

Step-by-step explanation:

How many points does the team have?

How many games has this team lost?

Answers

Step-by-step explanation:

P = 3W + D

When W = 5 and D = 3, P = 3(5) + 3 = 18.

When P = 50 and D = 14,

(50) = 3W + (14), 3W = 36, W = 12.

Since the team has 12 wins and 14 draws,

they have 35 - 12 - 14 = 9 losses.

Please can someone help.

Answers

Step-by-step explanation:

w = 3(2a + b) - 4

w = 6a + 3b - 4

6a = w - 3b + 4

a = 1/6 * (w - 3b + 4).

simplify (4x²y³)(2xy⁶)​

Answers

Answer:

8x^3y^9

Step-by-step explanation:

just multiply 4 by 2. then, add each exponent. for example, there is x² and there is x, so do x² × x = x³. then do y³ × y^6 = y^9.

8x^3 y^9

multiply the 4 and 2 then add the exponents of the common variables

which is the slope of a line that contains A (3,4) and B (2,2)

Answers

(4-2) / (3-2) = 2/1 = 2
The slope is 2
The answer is the slope is 2
Other Questions
Explain the conflict between nobility and monarchy in Europe between 1450 and 1750. Who won? Activity 3. Useful or Not?Directions: Number the sentences in order from 1-12 as 1 = most useful to 12= least useful in identifying the best way to learn English.|__|- listening to the teacher explain grammar rules|__|- answering a lot of written grammar exercise|__|- making visual representations of material read and heard|__|- doing a lot of oral exercises|__|- speaking as much as possible in class and outside|__|- working on a task with a group|__|- participating in plays and other literary productions using the language |__|- trying to think in English and not translating|__|- making information maps of material read|__|- forgetting about grammar and listening to people talking instead.pls help ;-; also i you dont know what is this ''|__|'' its a tiny box and i dont know how to make box... help me pls easy mathh 3. Por qu a los aztecas se les hizo fcil someter asus pueblos vecinos en dos siglos? * 5. Find x in the hexagon below.PLEASE HELP A scientist discovers what he thinks is a cell. Which question about this new discovery should the scientist answer first to determine ifit is a cell?A) How long does it live?B) Can it reproduce itself?C) How large can it grow?D) Does it contain DNA? For which value of m is start fraction 4 over 16 end fraction equals start fraction m over 24 end fraction a proportion? A. m = 6 B. m = 8 C. m = 12 D. m = 14I think its C can someone answer this question? Which event happened in first in the founding of the United States the answers were there but please report the guy who said you can do this he just wants points. can you Help me please!!! What does "monoculture mean as it used in this reading? which statement is the most appropriate comparison of spreads What is the meaning of your mom. Which rhetorical appeal did Tubman use most effectively when she had to convince her group to keep moving? Explain using detail from the text. when aqueous solutions of sodium hypochlorite and nitric acid are mixed, an aqueous solution of sodium nitrate and hypochlorous acid results. Write the net ionic equation for the reaction. Which synonym best replaces theunderlined word in the followingsentence?My baby sister has such a genialand innocent disposition.A. mellowB. sweetC. generousD. grateful Based on your reading of the text, what can be inferred about Gandhi's preferred method ofobtaining social justice?He promotes the idea that only violence will bring change.He promotes the idea that non-violent, peaceful protest and resistance will bringchange.He feels both protests and vioce are necessary.None of the above. 60% of Y is 75. What is Y? Which side lengths below DO NOT produce a right triangle?5,12,133,6,913,84,859,40,41 Which detail best supports the inference that Mr. Dhyes change in behavior is dangerous?1.Mr. Dhye had gone from being a carefree, downright jovial individual to being an unpredictable, moody car tyrant.2.It was disconcerting, this vacillation between "good guy" "bad guy," because one minute Mr. Dhye would be saying, "Nice entrance onto the freeway," and the next be screaming, "What are you doing?! Pay attention!"3.But apparently, I was taking too long, and without warning Mr. Dhye yelled at me to "Hit the gas!" Then he grabbed the steering wheel as we screeched and swerved across the intersection, only narrowly missing the car in the furthest lane.4.My heart was racing, and I sternly told Mr. Dhye we needed to stop immediately. He pointed to a side road, and we parked.