A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed

A Sphere And A Cylinder Have The Same Radius And Height. The Volume Of The Cylinder Is 18 Centimeters

Answers

Answer 1

Answer:

12 cm^3

Step-by-step explanation:

Before we do anything, we should set up the proportion.

[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]

Now do the Cancelations of \pi r^2 on the left.

h// (4/3) r  = 18/x

but h = 2*r

2r // (4/3) * r   = 18/x   Cancel the rs on the left

2// (4/3) = 18/x            Make 2 = 2/1 so you can handle the fraction

2/1 // (4/3) = 18/x         Invert and multiply the denominator

2/1 * 3/4 = 18/x

6/4 = 18x                     You can reduce the left side

3/2 = 18x                     Cross multiply

3x = 2*18                     Combine the right

3x = 36                        Divide by 3

x = 12

So what you have found is the volume of the sphere. 12 cm^3

This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).

I'm a little long winded here, but the first time you see this, you should be given very small steps.


Related Questions

What minus 12 equals 12

Answers

Answer:

24-12

Step-by-step explanation:

Help is appreciated:)

Answers

Answer:

Step-by-step explanation:

(-1, 3)

y=3

the answer is y=3 :)) hope this helps

Will give BRAINLIST,

Answers

the bottom one... i think

Answer:

∠ 1 = 53°, ∠ 2 = 37°

Step-by-step explanation:

let ∠ 2 be x then ∠ 1 = x + 16

Complementary angles sum to 90° , then

x + 16 + x = 90

2x + 16 = 90 ( subtract 16 from both sides )

2x = 74 ( divide both sides by 2 )

x = 37

Then

∠ 2 = 37° and ∠ 1 = 37 + 16 = 53°

Find area of shaded regioni in pi T):
3 in
120°
area of sector:
pi
Submit

Answers

Answer:

A = 2π in2

Step-by-step explanation:

See the image I have shared

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. *

Answers

Answer:

please give me brainliest for quest

Step-by-step explanation:

The function P(t) = 4000(1.2) represents
the population of a small island
a. Does the function represent exponential
growth or decay?
b. what is the yearly percentage change in
population?
c. estimate how many people will be living on the island after 5 years.

Answers

Given:

Consider the given function is:

[tex]P(t)=4000(1.2)^t[/tex]

To find:

a. The type of exponential function (growth or decay).

b. Percentage change in population.

c. Population after 5 years.

Solution:

a. The general exponential function is:

[tex]P(t)=P_0(1+r)^t[/tex]          ...(i)

Where, [tex]P_0[/tex] is the initial population and r is the rate of change in decimal.

If r<0, then the function represents exponential decay and if r>0, then the function represents exponential growth.

We have,

[tex]P(t)=4000(1.2)^t[/tex]

It can be written as:

[tex]P(t)=4000(1+0.2)^t[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]P_0=4000[/tex]

[tex]r=0.2[/tex]

Since r>0, therefore the given function represents exponential growth.

b. From part (a), we have

[tex]r=0.2[/tex]

So, the rate of change in the population is 0.2. Multiply is by 100 to get the percentage change in population.

[tex]r\%=0.2\times 100[/tex]

[tex]r\%=20\%[/tex]

Therefore, the yearly percentage change in population is 20%.

c. We have,

[tex]P(t)=4000(1.2)^t[/tex]

Substitute [tex]t=5[/tex] in the given function to find the population living on the island after 5 years.

[tex]P(5)=4000(1.2)^5[/tex]

[tex]P(5)=4000(2.48832)[/tex]

[tex]P(5)=9953.28[/tex]

[tex]P(5)\approx 9953[/tex]

Therefore, the estimated population living on the island after 5 years is 9953.

17. There are 25 squares in the pattern.
What fraction of the squares have these
numbers of edges free?
a) 1 edge b) 2 edges c) 3 edges

Answers

a) 14/25
b) 4/25
c) 2/25

what is the correct answer​

Answers

Answer:  54.6 cm   (choice B)

===================================================

Explanation:

Focusing on triangle ACD, we see that AC = 20 is the hypotenuse and AD =  20/2 = 10 is the short leg. The short leg is half that of the hypotenuse when working with 30-60-90 triangles.

Also, for these types of triangles, the long leg is sqrt(3) times that of the short leg. That makes CD = AD*sqrt(3) = 10*sqrt(3)

The opposite sides are the same length, meaning BC = AD and AB = CD.

-----------

The perimeter of rectangle ABCD is

P = AB+BC+CD+AD

P = 10*sqrt(3) + 10 + 10*sqrt(3) + 10

P = 20 + 20*sqrt(3)

P = 54.6410161513776

P = 54.6 cm is the approximate perimeter

Answer:

54.64 cm

Step-by-step explanation:

The perimeter of a rectangle is the total length of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle. Perimeter of the given rectangle is a + b + a + b.

Length of CD = 17.32 cm from :

[tex] \sin(60) = \frac{cd}{20} \\ then \: x = 17.32 \: cm[/tex]

now CD = BA

Now we must determine length of AD :

[tex] \sin(30) = \frac{ad}{20} \: then \: ad \: = 10 \: cm[/tex]

Now :

perimeter = 17.32 + 17.32 +10+10 = 54.64 cm

Help pls and thank uu

Answers

Answer:

[tex]for~x=3[/tex]

[tex]f(x)=-5[/tex]

[tex]So,f(3)=-5[/tex]

--------------------------hope it helps...have a great day!!

5/12,3/8,6,14in ascending or


der​

Answers

I would say the answer is ascending.

Pls help me with this!

Answers

Answer:

5 ÷ 1/3

5 × 3/1

5 × 3

=15

Step-by-step explanation:

the answer is 15

Simplify the expression
3(5x+8)

Answers

Answer:

Solution given:

3(5x+8)

distribute

15x+8*3

15x+24 is a required answer.

Answer:

15x + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication.  Multiply each of the two terms inside parentheses by 3:

3(5x + 8) = 15x + 24

What is 2y+5 = 3y+2 ?

Answers

2y + 5 = 3y + 2

=> 5 - 2 = 3y - 2y

= 3 = y

Answer:

y = 3

Step-by-step explanation:

2y + 5 = 3y + 2

2y - 3y + 5 = 3y - 3 y + 2                  [ subtract both sides by 3y ]

- y + 5 = 0 + 2                                  [ 3y - 3y = 0 ]

- y + 5 - 5 = 2 - 5                              [ subtract by 5 on  both sides ]

- y + 0 = - 3                                      [ -5 + 5 = 0 ]

  - y = - 3                      

     y = 3                                          [ divide by - 1 on both sides ]            

Identifying the Input Value of a Function
The tiles on the left contain functions written using function notation. Match each function with its input.
h(g) = -4+9
The input is f.
f(h) = h - 7
The input is h.
g(t) = 21
The input is g.
Done
Intro

Match each function with its impact

Answers

Answer: g(f)= 2f - The input is f

h(g)=-4+g - The input is g

f(h)=h-7 - The input is h

Step-by-step explanation:

The matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

We have to given that,

To Match each function with its input.

h(g) = -4+9

The input is f.

f(h) = h - 7

The input is h.

g(t) = 21

The input is g.

Now, We get;

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

So the matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Can anyone please help with this question? Would much appreciate it

Answers

Sin = y/r
Cos = x/r
Tan = y/x

X = -21
Y = 20
R = 29

That means tan = 20/-21

Tha answer is D

NECESITO AYUDA URGENTE...

1- Ordena en forma descendente el siguiente polinomio con respecto a la
variable n. Luego identifica el término independiente:
6n 3 + 7n 4 -2n 2 -5 + 9n 5

2- Completa el polinomio para que cada término tenga el mismo grado
absoluto:
5x 4 y 3 – 3x 6 ___ + 5x 2 4__ + 7___ y 2 + 8y 7 - 6

3- Observa el siguiente polinomio e identifica cuáles son los términos
semejantes:
-8 + 3m 3 n – 4m 2 n + 7mn 2 -11nm 3 + 5 + 6m 2 n
4- Evalúa la veracidad de cada afirmación de la siguiente afirmación:
El grado absoluto de un polinomio no puede ser 1: ___________
5- El grado absoluto de un polinomio se obtiene sumando los grados relativos
de las variables: _________
_
6- El grado absoluto de un binomio puede ser cero: _________
_
7- Si el grado relativo de una variable es tres, entonces, el grado absoluto es
un número mayor que tres: __________
8- Si el grado absoluto de un término es uno. Entonces, el polinomio tiene una
sola variable: ___________
9- Completa el polinomio, luego ordénalo en forma descendente:
15x 4 + 5x 6 + 3x 3 + 2x 2 + 8 + +
10- Cuál es el valor numérico del siguiente polinomio cuando la x = -2 ; y= -3
: 3x 2 y – 5xy 2 + x -3y + 2

Answers

Answer:

Step-by-step explanation:

1- Order in descending order the following polynomial with respect to the

variable n. Then identify the independent term:

[tex]6n^3 + 7n^4 - 2n^2 - 5 + 9n^5[/tex]

The independent term is - 5.  

3- Look at the following polynomial and identify what the terms are

similar:

[tex]- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n[/tex]

The similar terms are + 3m^3 n and - 11 nm^3 and

- 4 m^2 n and 6 m^2 n

18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?

A. (–5, 23)

B. (–10, 2)

C. (5, –23)

D. (2, –10)

Answers

B ( -10 , 2 ) hope this helps you!!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

C. (5, –23)

»»————- ★ ————-««  

Here’s why:  

I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Your math test scores have been: 73, 86, 91,88 Just from these scores, your current grade is 84.5 You just scored a 67 on the last test. What is your new grade?​

Answers

Answer:

[tex]81[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].

Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.

Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]

what is the length of side X in the above right triangle​

Answers

Answer:

x = 12

Step-by-step explanation:

Leg 1 = 9

Leg 2 = x

Hypotenuse = 15

Using Pythagorean Theorem;

A² + B² = C²

9² + x² = 15²

81 + x² = 225

x² = 225 - 81

x² = 144

x = [tex]\sqrt{144}[/tex]

x = 12

Hope this helps!

Answer:

x ≈ 12

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Correct answer gets brainliest!

Answers

Answer:

D

Step-by-step explanation:

YD and TH

TH is in HOT and YD is in DAY

They go from end to the front in the same way

Making a straight line from left to right that are on the same place

Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3

Answers

if i did it right, it should be 7744, 4(2)(2+3(2))^2

If I can travel 35 miles on 1 gallon of fuel and my tank holds 8 gallons, how many miles can I travel on a tank of fuel?


Answers

Answer:

can can travel 280 miles

Step-by-step explanation:

The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help

Answers

Answer:

8 feet, 256 ft^2

Step-by-step explanation:

The function of the area can be graphically rapresented with a parabola that opens downwards

in this specific case the vertex is the maximum point of the parabola.

(X) Vertex = -64/-8 = 8 feet

(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2

Answer:

Maximum Width = 8 feet.

Maximum area = 256 ft^2.

Step-by-step explanation:

Part A.

A = -4w^2 + 64w

Finding the derivative:

dA/dw = -8w + 64 = 0  for maxm/minm, so

-8w  = -64

w = 8

The second derivative is -8 so w = 8 gives a maximum.

Part B.

The maximum area = -4(8)^2 + 64*8

= -256 + 512

= 256 ft^2.

What is the length of the diagonal of the square shown below? ​

Answers

5√2

Step-by-step explanation:

By the Pythagorean theorem,

A² + B² = C²

5² + 5² = C²

25 + 25 = C²

C² = 50

C = √50

C = √(2 • 25)

C = √2 x √25

C = √2 • 5

C = 5√2

Answer:

5[tex]\sqrt{2\\}[/tex]

Step-by-step expla

chọn  tam giác ==> cạnh huyền là đường chéo của hình vuông  ảg

sin(∝)= đối / huyền

⇒huyền= đối /sin(45°)

⇒huyền=  5/ sin(45°)

⇒huyền=  5[tex]\sqrt{2}[/tex]

Please help this is done today at 11:59 PM tonignt

Answers

This one is the 90 degrees

Answer:

should be 359.18876

Step-by-step explanation:

if you round it to the nearest hundredth it will give you your answer in units

Kevin is doing a puzzle. He has completed 89/100 of the puzzle. Which decimal represents how much of the puzzle Kevin has left to do?

Answers

Answer:

100-89/100=11/100

=0.11

15. Identify the slope of the line graphed below? *

Answers

Answer:

[tex]\displaystyle m = 2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (0, -1)

Point (1, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1--1}{1-0}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{2}{1}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = 2[/tex]

Answer:

Step-by-step explanation:

Please help thank you!

Answers

The answer to the problem is 10
The answer is because 3x3x3 =27 then divide by -9 is -3 + 13 is 10

47 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows:
# of Siblings 0 1 2 3 4 5 6
Frequency 4 11 8 10 6 5 3

Round all your answers to 4 decimal places where possible.

The mean is:


The median is:


The sample standard deviation is:


The first quartile is:


The third quartile is:


What percent of the respondents have at least 4 siblings?
%

94% of all respondents have fewer than how many siblings?

Answers

mean: 2.238
median: 3
sample standard deviation: 2.531
first quartile: 1
third quartile: 5

what % of respondents have at least 4 siblings?
29.79%

94% of all respondents have fewer than how many siblings?
5
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