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
Georgia [21]
3 years ago
9

Find the volume of the composite space figure to the nearest whole number.

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

  d.  944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

  A = πr² . . . . . where r is the radius, half the diameter

The area of a circle with diameter 9 mm is ...

  A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

  semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

__

The area of the rectangular portion of the end of the prism is the product of its width and height:

  A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

  base area = rectangle area + semicircle area

  = (54 mm²) +(31.809 mm²) = 85.809 mm²

__

This base area multiplied by the 11 mm length of the prism gives its volume:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the composite figure is about 944 mm³.

You might be interested in
Ants can hear each other up to a range of 2 m. An ant at A, 1 m
Nataly_w [17]

Answer:

The secant of the angle equals the distance between the ants divided by the distance from the first ant to the wall, So sec 62° = d / 1, where d is the distance between the ants. That's more than the hearing range of 2m, so yes, the friend will be a meal. Step-by-step explanation:

7 0
2 years ago
there are 495 students in a senior class. The cost of a senior trip is $120 per student. write an expression that can represent
olga55 [171]
$120 per each student x 495 students = $59,400
Hope this helps!
6 0
3 years ago
Read 2 more answers
5 plus 2 minus 7 plus 4
Yakvenalex [24]

Answer:

5+2=7-7+4=4 =4 the answer is 4

Step-by-step explanation:

do not cheat 1st grader

5 0
3 years ago
Read 2 more answers
What is the greatest common factor of the terms in the expression 21x-18x+28xy
xeze [42]

Answer:

x(3+28y)

Step-by-step explanation:

21x-18x+28xy

3x+28xy

x(3+28y)

8 0
3 years ago
Read 2 more answers
What is the value 6,035
Julli [10]
6035 theres nothing to take from or add to it

4 0
3 years ago
Read 2 more answers
Other questions:
  • Statistics Help (P-Value 85 Points)
    13·1 answer
  • Jenna said that she took 4 milliliters of medicine when she was sick. Is this a reasonable statement? Explain.
    10·1 answer
  • If you are trying to move an attached term across the equal sign (=), what operation would you use to move it?
    11·1 answer
  • STUDENTS AT SPRINGFIELD MIDDLE SCHOOL ARE PLANNING A ROOFTOP GARDEN. THEY PLAN TO PLANT FLOWERS IN 18 BEDS, WHICH IS 30% OF THE
    13·1 answer
  • PLEASE HELP ME!!!!
    13·1 answer
  • The option gpe is best when the contracted volume is below 3750037500 units ​(enter your response as a whole​ number).the option
    8·1 answer
  • Expand and simplify (x-3)(x+5)​
    5·1 answer
  • Please help me ASAP.
    5·2 answers
  • Vivian divides the total amount of money she has evenly between her three children. Each child receives $8.84. Let m be the tota
    9·2 answers
  • I'm thinking it's either a or d but I'm not sure.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!