a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?​

Answers

Answer 1

The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

What are a cone and a cylinder?

The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.

A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.

It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-

The lateral area of the cone = πr√(h²+r²)

The lateral area of the cylinder = 2πrh

The ratio will be calculated as:-

R = πr√(h²+r²)  /   2πrh

R = √(h²+r²) / 2h

Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

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Related Questions

plz help me 2 plz 2 plz 2

Answers

Step-by-step explanation:

P(-4,7)

Q(-1,-1)

R(-8,-1)

Two-step equation
2x+5x=-1
What's the answer for x=

Answers

-1 / 7 = x

You need to combine the 2x and 5x then devise the 7x from -1

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded

Answers

Answer:

c

Step-by-step explanation:

24×12=288 songs downloaded

this is because you have to do opposite operations according to one of the operations of math

An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.

Let the number of songs downloaded be d.

So, the equation is d/12 =24

d=288

The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.

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There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answers

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Can someone help me with this PLZ

Answers

Answer:

6 and 8

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

Q1: 6 and 8

Q2: 8 and 12

Q3: 12 and 15

Q4: 15 and 20

Brainlist Pls!

What is the length of side a? Round to the nearest tenth of an inch

Answers

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer: 36
Explanation: ^^^

the product of 2 consecutive integers is 42. find the integers

Answers

Answer:

6 & 7

Step-by-step explanation:

6 x 7 = 42

They are consecutive!

Answer:

6x7

Step-by-step explanation:

hope this helps!

Can Someone Help me, pls?

Answers

Answer:

6.25 <7

Step-by-step explanation:

Answer:

(1) [tex]x\leq 4[/tex]

(2) [tex]x\geq 4[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4[/tex]                [tex]-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4[/tex]

Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
4x^34x
3
4, x, cubed

(Choice B)
B
b=9b=9b, equals, 9

(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text

(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72

(Choice E)
E
x+y-\dfrac83x+y−
3
8

Answers

C is the answer I think if it’s not I’m sorry

Answer:

c b

Step-by-step explanation:

khan

Please help I’ll mark brainliest

Answers

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

Can you solve the inequalities 9.50(70+x)≥1000

Answers

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

x≥670/19

x≥35.26315789

Hola me podría alguien ayudar con esto? Muchas gracias!

Answers

Answer:

Las respuestas estan a continuacion.

Step-by-step explanation:

Tres mas que un numero = a+3

La diferencia entr eun numero y 5 = a - 5

4 menos que n = 4 - n

Un numero aumenta en 1 = x + 1

Un numero disminuido en 10 = z - 10

El producto de dos numeros = x*y

Dos veces la suma de dos numeros = 2(a+b)

Doce veces un numero sumado a otro = 2a+b

El coceinte de dos numeros =  a/b

Un numero aumentado en 3 = x+3

Un numero dismunuido en 2 = a - 2

El producto de m y n = m*n

El antecesor de un numero cualquiera = n - 1

El sucesor de un numero cualquiera =  x+1

Espero te haya servido!

Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?

Answers

Don’t go to the persons above me!!!! link I’m warning you!!!!

GIVE ME A SOLID ANSWER

I gain: These 2 pages answers

You gain: 25 points brainliest

Answers

Answer:

Sorry but it is really difficult to see the questions... :(

Can you zoom up on them?

Step-by-step explanation:

A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.

Answers

Answer:

The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.

Hope this helped!

hi, find the real zeros. if there are none, just say none.

Answers

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️

Answers

Answer:

The answer is the second one!

Have a wonderful day/night! <3

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Which method would be the most efficient way to solve the method : substitution method, Eliminating method or equal value 3x+y=1 4x+y=2

Answers

Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

-    -      -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

Which of the following describes theoretical probability?

Answers

Hi for the answer is there any backstory or answer key at least?

Answer:

Roll of a Die

Step-by-step explanation:

25 points. Need help

Answers

Answer:

BD = 21 units

Step-by-step explanation:

By applying mean ratio theorem in the given triangle ABC,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

21 × 21 = BD²

BD² = (21)²

BD = 21

Therefore, measure of segment BD is 21 units.

Given that 1 inch =2.54 how many centimeters are in 8 feet

Answers

Answer:

243.84 cm

Step-by-step explanation:

8 feet = 96 inches

96 inches x 2.54 in/cm = 243.84 cm

What is the perimeter of the triangle?

Answers

The perimeter of the triangle is 34.2 units

How to determine the value

To determine the value of the perimeter, we need to know the following;

A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygon

The formula that is used for calculating the perimeter of a triangle is expressed as;

P = a + b+ c

Such that a , b and c are the lengths of the sides of the triangle

Then, we have that;

Using the Pythagorean theorem

a² =  81 + 121

a² = 202

a = √202 = 14.2 units

Perimeter = 9  + 11 + 14.2

Add the values

Perimeter = 34.2 units

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Rosa and her friends are eating out for dinner.
The bill was $45.80. They want to leave a 20% tip.
How much should they leave for a tip (gratuity)?

Answers

Answer:$9.16

Step-by-step explanation:

What I did was 20% of $45.80!  If you have a tip or a percent problem you can think of it as that percent of the certain number.  In math "of" means mupltiply.

Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.  

Hope this helps bwo

 

what is 10c + 20 = 40 C =

Answers

Answer: c = 2

Step-by-step explanation:

First you write out your equation: 10c + 20 = 40

Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:

10c + 20 = 40

      - 20    - 20  

The 20s cancel each other out and 40 - 20 is 20.

Our new equation looks like: 10c = 20

Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.

10c divided by 10 is just c and 20 divided by 10 is 2.

Therefore, you are left with c = 2

hope this helps have a nice day :)

Help! Quickly!

I beg thy to help.

Answers

Answer:

I think that B is the correct answer , 353.3 ft2 .

Good luck ^^

Answer: B
Answer Explanation: process of elimination

Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?​

Answers

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

What’s 6 x 5 * divide* 10? I need answers plz

Answers

Answer:

It is 3

Step-by-step explanation:

6*5= 30

30/10= 3

Mark me Brainliest?

I need help can someone help me pls

Answers

Answer:

D: 25 miles

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^{2} + b^2 = c^2[/tex]

36^2 + b^2  =  39^2

1,296 + b^2  =  1,521

b^2  =  225

b  =  25

I need help fast not not like serious help me

Answers

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

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