If the length of the radius and the height of a right circular cylinder are both tripled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? (Note: The two cylinders are said to be "similar.")

Answers

Answer 1

Answer:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1

Step By Step Explanation:

Volume of the smaller cylinder(V1)=π(r^2)h

Volume of the larger cylinder(V2)=π(r^2)h

=π(3r)^2*3h

=π*9(r^2)*3h

=27π(r^2)h

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1


Related Questions

3. A pharmacist needs a blend of chemical containing 35% of manganese but she has one vial
at 40% and another at 25%. How many of each must be mixed to provide 100 pounds of
35% manganese?

Answers

Mi hermano me dice que no tengo nada que ver con el que no me deja

I NEED HELP QUICK!!!

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Answer: 12cm

Step-by-step explanation:

Someone please help me, i will give brainliest
Enter the decimal equivalent of 11/8

Answers

Answer:

1.37

Step-by-step explanation:

I just used my calculator lol

(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2

Answers

Answer:

191.0

Step-by-step explanation:

Find the volume of the cylinder.
Either enter an exact answer in terms of or use 3.14 for pi

Answers

Answer:

Answer in explanation

Step-by-step explanation:

Volume of cylinder =

[tex]\pi {r}^{2} h \\ = (3.14)(4) {}^{2}(8) \\ = 401.92units {}^{3} \: or \: 128\pi \: units^{3} [/tex]

Answer:

Step-by-step explanation:

Radius r = 4

Height h = 8

Volume = πr²h = 128π units³

Emily surveyed 364 people with 3 out of 7 answered yes

Answers

whats is the question?

Find the value of x

Answers

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Lisa is saving money to buy a game. The game costs $36, and so far she has saved three-fourths of this cost. How much money has Lisa saved?

Answers

36 multiplied by (3/4) is 27 dollars
3/4 = 0.75
36x0.75= $27
Can I get brainliest

Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).

Answers

Answer:

19  

Use the given functions to set up and simplify

The following is the estimation results for a multiple linear regression model:
Y = B. + ,X,+B,X, +E
SUMMARY OUTPUT
Regression Statistics
R-Square 0.558
Regression Standard Error (S) 863.100
Observations 35
Coeff StdError t-stat
Intercept 1283.000 352.000 3.65
X1 25.228 8.631
X2 0.861 0.372
Questions:
1. Write the fitted regression equation (30 points).
2. Write the estimated intercepts and slopes, associated with their corresponding standard errors (30 points).
3. Interpret each coefficient (40 points).

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the summary output :

_______ Coeff___ StdError__ t-stat

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.631

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

Given y = alog(x + c) + d. What would happen to the graph if you changed the value of d? Describe both positive and negative
values.
A)
B)
Changing the value of d would cause a vertical stretch or shrink. A negative
value would also cause a reflection over the x-axis.
Changing the value of d would cause a horizontal stretch or shrink. A
negative value would also cause a reflection over the y-axis.
Changing the value of d would move the graph up and down (vertically). A
positive d value would move the graph up and a negative d value would
move the graph down.
Changing the value of d would move the graph left and right (horizontally).
A positive d value would move the graph right, and a negative d value
would move the graph left.
C)
D)

Answers

Answer: A

Step-by-step explanation:

I just took the USATESTPREP quiz and that is the answer.

 Option (C) will define the changes in the graph of the function with the values of 'd'.

 Given function in the question → y = alog(x + c) + d

Rules for the translation of a function,

If a function y = f(x) is shifted 'h' units upwards on y-axis, rule for the translation will be → y = f(x) + hIf the function y = f(x) is shifted 'h' units downwards, rule for the translation → y = f(x) - h

 Hence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.

And for the negative value of 'd' will define the shift of the function downwards.

     Option (C) will be the correct option.

Learn more,

https://brainly.com/question/16770247

Please help me ASAP
Please help

Answers

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

What is the scale factor from ABC to DEF

Answers

Answer:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC

Step-by-step explanation:

20 baseballs pitched he hit 17. What %did TJ hit

Answers

Percent part
100 Whole

x 17
100 20

(100*17)/20
1700/20
=85 percent

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12

Answers

Answer:

Step-by-step explanation:

The perimeter of the shape below is 44 feet. What is the area in square feet?

Answers

Answer:

2(4x+2+6x)=44

10x+2=22

10x=20

x=2

area= 10*12=120sq feet

Step-by-step explanation:

simplify [tex]\sqrt{p^4q^6r^5. answer is D just took the test

Answers

The answer is A according to the answer and the sheet

Let O be a quadrant I angle with cos(0) ✓11/7 Find sin(20).​

Answers

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Six trigonometric functions of -315.

Answers

Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters

Answers

Answer:

i

Step-by-step explanation:

dont know

The ———— is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.

--Select-
Behavior Test
t Answ Polynomial Test
Odd Degree Test
Horizontal Line Test
Leading Coefficient Test
Dints] Distinct Zero Test
Even Degree Test
Vertical Line Test
AT10 3.2.001.

Answers

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

what is 15% of 22 help​

Answers

15%= .15

.15*22= 3.3

Answer: 3.30

I need this thank you please help

Answers

Answer:

Step-by-step explanation:

This is not a function.

A function has to have 1 y associated with each x. This relationship has 2 except for 1 point (the vertex at 3,0).

You can write a domain and range for it.

The domain is

- infinity < x < 3

The range is

-infinity  < x < + infinity.

Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is

Answers

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Answers

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Hi please help me with this asap.​

Answers

a. 15% of $20000 is 15/100x20000 = $3000. You therefore get $3000 off the $20000 asking price. $17000

b. VAT is 10%. 10/100x17000 = $1700
You therefore add $1700 to the discounted price of $17000. $18700

c. 15% off the discounted price. 15/100 x17000 = $2550. New discounted price is $17000-2550= $14450.

d. 10% VAT of $14450 is 10/100x$14450 = $1445. Total price after all discounts and VAT is now $14450+$1445 = $15895

Which angle is congruent to B

Answers

I think it’s angle D because it’s an alternate interior angle with angle B

Describe the graph of y=-x and compare it with the graph of y = x

Answers

Y=-x is a negative slope starting from the left of the graph and going downwards by one. Y=x is a positive slope that goes up from left to right by one.

levi was designing a kite. he needs to determine the measure of

Answers

he needs to determine the measure of the kite?

The measure of angle A is 86.

What is a kite?

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

Learn more about kite here:

https://brainly.com/question/31239785

#SPJ3

The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.

Helpppp!!!! ASAP!! Please???!

Answers

Answer:

c 111 mark me

Step-by-step explanation:

and ur welcome lol

Answer:

105

Step-by-step explanation:

if it true i add 65 +40 =105 so yeah

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