1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
12

A 13 meter long cylinder with a diameter of 8 meters has a square prism with a base length of 3 meters hole going all the way th

rough 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.

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

The volume of the solid is 626.12m³

<h3>Volume of composite solids.</h3>

The volume of the given composite solid = volume of cylinder - volume of cube

The volume of cylinder Vc = πr²h

Vc = 3.14(8/2)²(13)

Vc = 3.14(16)(13)

Vc = 653.12 m³

Similarly the volume of the cube:

Volume of cube = 3³

Volume of cube = 27 m³

Volume of the solid = 626.12m³

Hence the volume of the solid is 626.12m³

Learn more on volume of composite solid here; brainly.com/question/9076728

You might be interested in
A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe
natka813 [3]

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

a+b+c+d=14\ ft.

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

7a+7b+7c+7d.

Use the distributive property for this expression:

7a+7b+7c+7d=7(a+b+c+d).

Since a+b+c+d=14\ ft, then

7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.

7 0
3 years ago
Read 2 more answers
What is the value of k in the equation k/3 - 5 = 34?<br> 11 1/3<br> 13<br> 102<br> 117
mestny [16]

1. Add 5 to both sides

k/3 = 34 + 5

2. Simplify 34 + 5 to 39

k/3 = 39

3. Multiply both side by 3

k = 39 * 3

4. Simplify 39 * 3 to 117

k = 117

6 0
3 years ago
Read 2 more answers
Hey guys this is confusing, someone plz help
tangare [24]

Answer:

its 12

Step-by-step explanation:

because if you x it buy 6 and divide by 9 thats 12 and to make sure its right you just do  the process in reverse

6 0
3 years ago
Read 2 more answers
Can someone solve my homework questions please ?
gulaghasi [49]
A is not congruent
B is not congruent
C is congruent
D is not congruent
E is congruent
Is congruent
4 0
3 years ago
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of t
Zolol [24]

Answer:

The  value  is E =19.6

Step-by-step explanation:

From the question we are told that

  The mean of Jo  cows is  \= x_1 = 1350

  The standard deviation of Jo cow is  s_1 =  50

  The mean of Val  cows is \= x_2  = 1420

   The standard deviation of Val  cows  is  s_2 =  50

    The sample size for both Val  and  Jo  is  n = 25

Let assume that the level of significance is  \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

Hence margin of error for Jo is  

=>   E = 1.96 *  \frac{50}{\sqrt{25} }

=>   E =19.6

4 0
3 years ago
Other questions:
  • Hey Guys :) If you guys can Pls Answer me Pls :) You Guys are awesome
    14·2 answers
  • or her cell phone plan, Heather pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. Which in
    15·2 answers
  • arizona has a land area of 113998 square miles . wyoming has a land area of 97813 square miles .how much greater is the area , i
    14·2 answers
  • How many solutions exist for the given equation?
    14·2 answers
  • By which rule are these triangles congruent?
    12·2 answers
  • What is the slope of a line perpendicular to a line with slope -6/5? *
    8·1 answer
  • Can someone plz help me on this plz
    15·1 answer
  • What is x 4x+2 plz help
    6·2 answers
  • What is 5.6 less than 25.3
    14·1 answer
  • PLEASE HELP ME!! 100<br> Points
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!