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

Write the equation of the line in slope- intercept form(y=mx+b)

Answers

Answer:

-1/3x + 5 = y

Step-by-step explanation:

Tamara can mow an acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.

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Answer:

2 hours

Step-by-step explanation:

What percent of a day does this child spend doing homework? (Round to the nearest whole percent)

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Answer:

Step-by-step explanation:

Look at the graph, look at homework and then look at the number right outside of it.

What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?

Answers

Answer:

400 inches

Step-by-step explanation:

Area of all sides and add them

What is the positive solution to 2x^2=72?

Answers

2x^2 = 72

Divide both sides by 2:

X^2 = 36

Take the square root of both sides

X = 6

Suppose the longest side in a right triangle has the measure 4,6. If the acute angles have the measure of 30° and 60°, which is the exact measure of the longer leg?​

Answers

The longest leg would be 3.984, and the other leg would be 2.3

A zoo keeper measured the length of two baby alligators. The first one was 12 inches. The other was 5/6 of that length. How long was the second baby alligator?

Answers

Answer:

10 inches

Step-by-step explanation:

5/6*12

5*2 (since 12/6=2)

10 inches long!

hope it helps you!

Answer:

It would be 10 inches

Step-by-step explanation:

The 5/6 of 12 is 10 since(or you can simply say that we just subtract 2, I don't really know how to explain my work)

a youth basketball has a diameter of about 8.75 inches. what is the volume of air, in cubic inches, that can fill the basketball? round your answer to the nearest hundredths place.

answer(s);
1.) 1,052.31 in^3
2.) 350.77 in^3
3.) 240.41 in^3
4.) 2,805.16 in^3

Answers

Answer:

this took hella long to do but it's B

Three friends shared one-fourth of a large pizza equally among themselves. Enter the fraction of a pizza that each person gets.

Answers

Answer: 1/12

Step-by-step explanation:

(x+4)² + (y-6)² = 48

Answers

Answer:

Step-by-step explanation:

This is the equation of a circle with center at (-4, 6) and radius 4√3.

if 7 is 100 % how much is 2 in %

Answers

28.571429% that is 2

hope this helped

Answer:

50% Is the answer

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer
than Noah, and Noah scores three times as many points as Mai. If Mai
scores 5 points, how many
points did Elena score? Explain your reasoning.

Answers

Answer:

22

Step-by-step explanation:

if mai scores 5 points and noah scores 3 times that then noah scored 15 points, and if tyler scores four less than noah than he scored 11 points, which you multiply by 2 to get elena's score which is 22

half of 1/2 cake = _____ cake.

Answers

Answer:

well

Step-by-step explanation:

please add the image

Applying the knowledge of fractions, half of 1/2 cake = 1/4 cake.

Multiplying Fractions

We are asked to find how many parts of are there in half of one-half of a cake.

Thus:

half = 1/2

1/2 of 1/2 cake = 1/2 × 1/2 (of = multiplication)

= (1 × 1)/(2 × 2)

= 1/4

Therefore, applying the knowledge of fractions, half of 1/2 cake = 1/4 cake.

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The electronics store is offering 30% off all accessories. If Lisa saves $9.00 buying four charging cords, what was the original price of the cords?

Answers

Answer:

Cost of each cord = $7.5

Step-by-step explanation:

Given:

Discount rate = 30% = 0.30

Amount save by Lisa = $9

Number of charger = 4

Find:

Cost of each cord

Computation:

Total cost of 4 charger =  Amount save by Lisa[1/Discount rate]

Total cost of 4 charger =  9[1/0.30]

Total cost of 4 charger =  $30

Cost of each cord = Total cost of 4 charger / Number of charger

Cost of each cord = $30 / 4

Cost of each cord = $7.5

PLSS HELPPP THIS IS DUE TONIGHT

Answers

Answer: A triangle is equal to 180 degrees.

The equation would be x+82+x-14=180.

2x+68=180

2x=112

X=56

Step-by-step explanation:

Help please I need this today

Answers

I’m not the best at math so I won’t even try. But have you used Photomath ?

Answer:

a = 15

t = 5

Step-by-step explanation:

[tex] \frac{12}{a} = \frac{16}{20} \\ \\ 16a = 12 \times 20 \\ \\16 a = 240 \\ \\ a = \frac{240}{16} \\ \\ a = 15 \\ \\ \\ \frac{2}{8} = \frac{t}{20} \\ \\ 8t = 40 \\ \\ t = \frac{40}{8} \\ \\ t = 5[/tex]

12 inches in this circle represents its

Answers

Answer:

I can't see the whole picture, but if it's half of the circle, it's the radius. if the line goes all the way through the circle, it's the diameter

Answer:

I think it’s the diameter

Step-by-step explanation:

Will Mark Brainliest To First Correct Answer.
Properties of Kites on IXL. I Only need to get one more correct and dont want to get reset...

Answers

Step-by-step explanation:

[tex]ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36[/tex]

Use substitution to solve the following system of equations.
y=3x +8
5x+ 2y = 5

Answers

Answer:

5x+2(3x+8)

5x+6x+16

11x+16

11x=-16

X=16/11

6) What is the equation of a line that passes
through (-1, -3) and has a slope of 2?

Answers

Answer:

y+3=2*(x+1)

Step-by-step explanation:

If a graphed line passes through ordered pair
points (-6, 2) and (5, 4), what is the slope of
the line?

Answers

Answer:

I think it would be 2/11 . hope it helps u ^.^

Which expression is Equivalent to is m<4?

Answers

Answer:

first option

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle, then

∠ 4 = ∠ 2 + ∠ 3

If x=(y+2)^2 and y= -7 then what is x

Answers

Answer:

X=25

Step-by-step explanation:

y+2=-7+2=5

[tex]5^{2} =25[/tex]

The answer should be x=25

what is the diameter of a circle with a circumference of 56 inches?

Answers

Answer:

17.83in

Step-by-step explanation:

Diameter of circle with circumference 56 inches 17.81 inches .

Given,

Circumference = 56 inches

Now,

Circumference of circle = 2πr

r = radius of circle.

Substitute the values to get the value of radius,

56 = 2 × π × r

56 = 2× 22/7× r

r = 56 × 7/44

r = 8.909 inches.

Next,

Diameter = 2 (Radius)

Diameter = 2 * 8.909

Diameter = 17.81 inches .

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A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the product?

Answers

Answer:

8

Step-by-step explanation:

The degree of a polynomial refers to the term with the highest exponent.  Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5.  When you multiply

x3*x5 = x3+5 = x8.  

So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.

Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second.  So you'll have something like ax3 * bx5.  That will result in x3*x5=x8, so your product will have degree 8.

Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?

Pls help I well mark you a brainliest...

Answers

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

Alice is using a rope to pull a wagon. He exerts a force of 2 newtons at an angle of 48° from the floor.


Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.


Part B: What implications does this have for pulling the wagon? Explain.

Answers

Answer:

Part A - i. 0.68 N ii. 1.88 N

Part B - The wagon will move slowly while being raised up off the ground.

Step-by-step explanation:

Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.

Since the force of 2 N is exerted at this new angle of 70°,

i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its

ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N

Part B: What implications does this have for pulling the wagon? Explain.

Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.

An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP ​

Answers

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

9-6x+x2 el dos va al cuadrado resuelvan lo porfA​

Answers

Answer:

6

Step-by-step explanation:

do 9-6 then

Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?

Answers

Answer:

...

Step-by-step explanation:

the answer is 10.2 :)

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