A 13 meter long cylinder with a diameter of 6 meters has a square prism with a base length of 3 meters hole going all the way through the center of it as shown in the diagram (not to scale). Find the volume of the composite shape rounding to the nearest cubic meter. Hint: while working the problem carry figures at least three decimal places, then round to the nearest cubic meter only once at the very end.

Answers

Answer 1

Answer:

The volume of the composite figure is approximately 337.27 m³

Step-by-step explanation:

The given parameters are;

The length of the cylinder, L = 15 meters

The diameter of the cylinder, D = 7 meters

The base length of the square prism, B = 4 meters

We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder

Therefore, we have;

The volume of the composite figure = The volume of the cylinder - The volume of the square prism

The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³

The volume of the square prism = B² × L = 4² × 15 = 240 m³

∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³

The volume of the composite figure ≈ 337.27 m³.

Hope it helps!!!!!!!Brainliest pls!!!!!!!

Related Questions

There are 15 boys in a class with 14 girls. Find the probability of selecting a girl then a boy

Answers

Answer:

14/29

Step-by-step explanation:

Answer:

total numbers of class = 15+14 =29

and number of girls in the class is 14girls

while probability = number of possible outcome

number of required outcome

therefore 14/29 is the probability of selecting

a girl than a boy

Select the correct answer.
What is the fractional form of 0.02 ?
A.
2/99
B.
1/11
C.
2/100
D.
1/12

Answers

In the picture, we can see that the decimal is repetitive. we can eliminate C because it is the only one that is non repetitive. 1/11 is 0.09090909…, which makes this fraction wrong. D is wrong because it equals to 0.083333…, which makes this fraction wrong. A is correct as 2/99 equals to 0.0202020202…, and since 02 is repetitive, this fraction is correct. Hope this helps.

Answer:

c

Step-by-step explanation:

write an equation for the line in slope-intercept form (please help due today‼️)

Answers

Answer: 5

Step-by-step explanation: You have to do rise overrun which is [tex]\frac{5}{1}[/tex], which equals 5.

Answer:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Step-by-step explanation:

i hope the above help you find it

all the best mate !

What is the length of the altitude to the short side of an isosceles triangle with side
lengths of 4, 7 and 7?

PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

son los que transforman el guión de teatro en una en una puesta en escena coordina las tareas de las demás personas que participan en la realización de la obra​

Answers

Las personas encargadas de plasmar el guion en una puesta en escena son los directores.

Qué es un director?

El director es la persona que se encarga de dirigir la puesta en escena de una película, obra de teatro u otra presentación artística. Su función principal es la de interpretar el guion y dar instrucciones al equipo de actuación para obtener el mejor resultado.

El director es una de las personas más importante en la realización de una puesta en escena porque es quien desarrolla la idea general de cómo se va a transmitir un mensaje y cómo lo va a recibir el público.

Aprenda más sobre actuación en: https://brainly.com/question/25326967

4/7 - 2/5 find the difference

Answers

Answer:

6 / 35

Step-by-step explanation:

4/7 x 5/5 =20/35

2/5 x 7/7 = 14/35

25/35 - 14/35

6/35  

fyi: (/) makes it a fraction.

Which of the following are right triangle congruence theorems?

*Check all that apply.* (IMPORTANT)

A. Leg-leg(LL)
B. Hypotenuse-angle (HA)
C. Hypotenuse-leg (HL)
D. Leg-angle (LA)

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

A. Leg-leg (LL)  

B Hypotenuse-angle (HA)

C Hypotenuse-leg (HL)

D. Leg-angle (LA)

Step-by-step explanation:

The HA theorem proves that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

The HL theorem proves that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The LL theorem proves that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The LA theorem proves that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

Thus, All of them are Correct.

[CloudBreeze]

how do I become good at math?​

Answers

Answer:

pay attention dont slack and always ask questions even about the most littlest things

Math is difficult because it’s hard to study for. I would recommend seeking a tutor if necessary, or if you just want more practice, utilizing resources like Khan Academy or IXL. Although the lessons aren’t exactly “fun,” they’re super beneficial when it comes to nailing a concept.

6 men, working 8 hours a day, earn $8400 per week. will the be the earning per week of 9 mean who work for 6 hours a day

Answers

Answer:

Let 6 men (M1) working 8 hours (D1) earn $8400 (W1).

∴ 9 men (M2) working six hours (D2) earns:

M1 × D1/W1 = M2 × D2/W2

W2 = 8400 × 9 × 6/6 × 8

     = 9450

Step-by-step explanation:

What is the solution to the equation 21/-4h=14/11+h

Answers

h = -3

Step-by-step explanation:

21/-4h =14/11+h

21×(11+h) =14×-4h

231+21h= -56h

21h+56h= -231

77h=-231

h=-231/77

h= -3

Please mark my answer the brainliest and rate me 5 star and follow me.

Answer:

-3

Step-by-step explanation:

Please show work for problem

Answers

Number Generator: there are 10 possible numbers
Coin Flip: heads or tails — 2 possible options

So, you multiply 10 (# generator) by 2 (coin flip possibilities)

As a ratio, 1:20
As a percentage, 5%

Hope this helps! If you found my answer helpful, please mark brainliest!

Look at the angles in the diagram.Classify each pair of the angles given Below

Answers

Answer:

Step-by-step explanation:

When you convert from grams to kilograms, do you end up with more units or fewer units? Why

Answers

Less because grams are smaller than kilograms. There are 100 grams in 1 kilogram. So say a box weighs 2 kilograms, that would be 200 grams, which is more units

please help.


thank you​

Answers

Answer:

g

Step-by-step explanation:

on a scale drawing, 3 inches represents 50 miles. if a line segment between two point measured 7 inches, how many miles would it represent

Answers

Answer:

116.66666667

Step-by-step explanation:

3 inches = 50 miles

so 1 inch = 16.6666666667

x 7 = 116.66666667

:) hope this helps

Find the value of x.
B
C(154°)
A
A

Answers

If this is the type of problem I’m thinking of it would be 26

A school fund raising event sold a total of 206 tickets and generated a total revenue of $762.45. There are two types of tickets: adult tickets and child tickets. Each adult ticket costs $5.70, and each child ticket costs $2.65. Write and solve a system of equations to answer the following questions.

_____ adult tickets and _____child tickets were sold

Answers

Answer:

71 adult tickets, 135 child tickets

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the number of adult and child tickets sold be a and c respectively.

[tex]\textcolor{steelblue}{\text{\textcircled{2} Form and label 2 equations}}[/tex]

Adult tickets +child tickets= total number of tickets sold

a +c= 206 -----(1)

Revenue from child tickets +revenue from adult tickets= total revenue

Revenue from child tickets

= number of child tickets sold ×cost of each ticket

= 2.65c

Revenue from adult tickets

= number of adult tickets sold ×cost of each adult ticket

= 5.70a

2.65c +5.70a= 762.45 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]

From (1):

a= 206 -c -----(3)

Substitute (3) into (2):

2.65c +5.70(206 -c)= 762.45

Expand:

2.65c +1174.2 -5.70c= 762.45

Simplify:

-3.05c +1174.2= 762.45

-3.05c= 762.45 -1174.2

-3.05c= -411.75

c= -411.74 ÷(-3.05)

c= 135

Substitute c= 135 into (3):

a= 206 -135

a= 71

[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]

Thus, 71 adult tickets and 135 child tickets were sold.

what is 16/27 reduced to

Answers

Answer:

This is the most simplified form of the fraction. As a percentage, 16/27 = 59.3% and as a decimal it is 0.593.

Step-by-step explanation:

Answer:

16/27

Step-by-step explanation:

Here we will simplify 16/27 to its simplest form and convert it to a mixed number if necessary.

In the fraction 16/27, 16 is the numerator and 27 is the denominator.

When you ask "What is 16/27 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 16 and 27, which is 1.

Then, we divide both 16 and 27 by the greatest common factor to get the following simplified fraction:

16/27

Therefore, this equation is true:

16/27 = 16/27

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

16/27 = Proper Fraction

Please help with this question (I will mark brainliest) Thank u >u<
A turtle population that started at 368 has begun to decrease by 7 percent each month. Which equation below could be used to model this situation?

Answers

Answer:

I have no clue but option 2 seems right to me but I really don't know sorry

Step-by-step explanation:

sorry I it's wrong

Answer:

P=368(0.07)^x

Step-by-step explanation:

Help! Please show work ฅ^•ﻌ•^ฅ

Answers

Answer:

input(x)       x-4          Output

   4               4-4             0

   8               8-4             4

   11               11-4            7

Step-by-step explanation:

First you see your input(x)

subtract x by 4

And that would give you your output

Can someone please help me with this asap

Answers

Answer:

this question could also be phrased as "If a single fair 6 sided die is rolled 3 times, what is the probability it will land on a 1, then on a 1, and then on a 1 again?"Probability of landing 3 = 1/6Probability of landing 2 = 1/6Probability of landing 3 = 1/6P = 1/6 * 1/6 *1/6 = 1/256

Step-by-step explanation:

I need help please. I don't understand and I need this to graduate​

Answers

Answer:

  (a, b, c) = (7, 2, -4)

Step-by-step explanation:

The fractions are added in the usual way, and the result simplified. That involves finding a common denominator, and expressing each fraction in terms of it.

Here the denominators have no factors in common, so the common denominator is their product. That common denominator is the difference of squares, a "special product."

  [tex]\dfrac{3x}{x+2}+\dfrac{4x}{x-2}\\\\=\dfrac{3x}{x+2}\cdot\dfrac{x-2}{x-2}+\dfrac{4x}{x-2}\cdot\dfrac{x+2}{x+2}\\\\=\dfrac{3x(x-2)+4x(x+2)}{(x+2)(x-2)}\\\\=\dfrac{3x^2-6x+4x^2+8x}{x^2-4}\\\\=\boxed{\dfrac{7x^2+2x}{x^2-4}}\qquad\text{a=7, b=2, c=-4}[/tex]

Hope this one helps

There is a picture just please help. 15 PTS PLEASE HELP

Answers

Answer:

B

Step-by-step explanation:

2(4) +8

=8

14x98 divide that by 2 and multiply ur chairs and width of the desk

Answer:

B

Step-by-step explanation:

One table = 8 chairs = 2 on each side

2 tables = 12 chairs = 4 on 2 of 4 sides and 2 on the other 2 sides

3 tables = 16 chairs = 6 on 2 of 4 sides and 2 on the other 2 sides

Hope this helps!!

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

CAN SOMEONE MULTIPLY THIS PLEASE, ITS URGENT

Answers

Let's factorise it :

[tex]\: {\qquad \dashrightarrow \sf ( {x}^{3} - 5)(x + 3) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf {x}^{3} (x + 3) + [-5(x + 3)] }[/tex]

Using Distributive property we get :

[tex]\: {\qquad \dashrightarrow \sf {x}^{3} + {3x}^{3} + ( - 5x - 15) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf {x}^{3} + {3x}^{3} - 5x - 15 }[/tex]

[tex]\: {\qquad \dashrightarrow \sf 4{x}^{3} - 5x - 15 }[/tex]

Therefore,

[tex]\: {\qquad \dashrightarrow \sf ( {x}^{3} - 5)(x + 3) =4{x}^{3} - 5x - 15}[/tex]

What is the coordinate of the point shown in the graph?​

Answers

Answer:

(3,-4)

Step-by-step explanation:

The 3 is our x and the -4 is our y.

3 is on the x cordinate and -4 is on the y cordinate

Answer:

(3, -4)

(Over (x), Down (y))

5. A heptagon has interior angles that
measure 109°, 143, 120°, 152°, 117°, and 84°.
What must be the measure of the remaining
angle?
PLS HELP ME i HAVE LIKE 7 pages of math to do by myself!!!

Answers

Answer:

120⁰

Step-by-step explanation:

thank me later good bye

solve by elimination:
y=-9x+2
y=-3x-4

Answers

Answer:

x=1, y=-7

Step-by-step explanation:

y=-9x+2 -->y+9x=2

y=-3x-4 -->y+3x=-4

subtract the equations

6x=6

x=1

substitute

y=-9+2

y=-7

Answer:

1st question 2nd question

Step-by-step explanation:

It took Michael 58 minutes last night to do three homework assignments.

The second homework assignment took twice as long as the first.
The third homework assignment took 8 minutes longer than the second.

How long did Michael spend on the first homework assignment?

Answers

Answer:

10 minutes

Step-by-step explanation:

We can represent the time it took him to do the first assignment by X.

The second assignment took twice as long and can be written as 2x.

The third took him 8 more minutes than the second. This can be written as 2x + 8.

It took him 58 minutes in total.

So, we can write the following equation.

[tex]x+2x+2x+8 = 58\\5x+8=58\\5x=50\\x=10[/tex]

Micheal spent 10 minutes on the first assignment.

PEOPLE OF THE INTERNET I REQUEST YOUR HELP ONCE AGAIN

Answers

Answer:

15

Step-by-step explanation:4x+1=61 because they are congruent, -1 on both sides 4x=60 divide 4 on both sides, and x = 15

Joseph deposited $250 into his savings account. He then withdrew $40 every
month. Which of the following equations shows y, amount of money in her savings
after x, number of months?

Answers

Answer:

Y=250-40x

Step-by-step explanation:

ez

Answer: 250-40x=y

Step-by-step explanation:

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