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
Rama09 [41]
3 years ago
7

find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use pi=3.14 when necessary. cylinder wi

th these 6ft, 18ft, 30 ft.

Mathematics
1 answer:
padilas [110]3 years ago
7 0
Ok so what we have is a large cylinder with a hollow cylindrical tube running thru the center. The volume of the shaded region should be the volume of the entire large cylinder (C) minus the volume of the small cylindrical tube (c): C - c
The volume of any cylinder is the area of the top circle (pi×r^2) times the height (h) of the cylinder, where r=radius of the circle. So: h×pi×r^2
The heights are the same for C and c, so we can call that h in both, which = 30ft. Now C's radius (R) = 1/2 of diameter, which is 18ft. So R = 9ft
c's radius (r) is 1/2 of its diameter, which is 6ft. So r = 3ft. Now we can set it up:
C - c = (h×pi×R^2) - (h×pi×r^2)
*since the h and pi in both formulae are multiplied by the other variable, we can factor that out:
h×pi(R^2) - h×pi(r^2) = h×pi(R^2-r^2)
h×pi = 30ft.×3.14 = 94.2ft. -->
94.2ft(9ft^2-3ft^2) = 94.2ft(81-9ft^2)
= 94.2ft(72ft^2) = 6782.4 ft.^3
You might be interested in
Hey guys, I am about to start studying for a math test happening in two weeks about statistics and I am wondering if you guys ha
Stels [109]
Answer more questions on every topic you’ve been thought. Answer research questions and questions likely to come out in the exam. Dwell on what you are trying to know more that what you already know. A planner could help as well and the Good God would help you
5 0
2 years ago
Which relation has a range of {0, 1, 2, 3}? (idk if its option 3 or not I just chose a random one)
Marina86 [1]

Answer:

Option 1

Step-by-step explanation:

Remember that range is the x values or the input. So in this case the inputs {0, 1, 2, 3} are all matching the ones in option one!

Hope this helps and have a great day!

3 0
3 years ago
Select the correct answer. In the figure, a pair of parallel lines is cut by a transversal. What kind of angle are angles A and
ankoles [38]

The answer is A. corresponding angles

7 0
3 years ago
Read 2 more answers
9. A 16-ft ladder is leaning against the side of a house. The ladder touches the ground 9 ft away from the house. What angle doe
Mandarinka [93]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
8 0
2 years ago
Read 2 more answers
Factor the expression 1.5x+6
swat32

There is no way to factor this so i would assume the answer is no solution.

7 0
3 years ago
Other questions:
  • Rewrite the expression 14m-(5+8m) without parentheses
    14·2 answers
  • A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?
    11·1 answer
  • Convert .06 yards to inches
    10·1 answer
  • Is x=-2 a solution of the equation 1-6x=7?
    9·2 answers
  • the values in the table represent a linear function. what is the common difference of the arithmetic sequence x: 1 2 3 4 5 y: 11
    7·2 answers
  • Can somebody help me with this question please I dont know what real world situation I’ll mark you brainlist after please and ty
    12·1 answer
  • A print shop makes designer shirts. The shop buys its ink in bulk from a
    15·1 answer
  • A watermelon that weights 4 pounds how many kilograms is the watermelon?
    7·2 answers
  • What are the like terms in the algebraic expression?
    12·1 answer
  • PLZ answer correctly! Brainliest!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!