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]
2 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]2 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
How many solutions does this linear system have?<br> Y=2x-5<br> -8-4y=-20
nataly862011 [7]
The answer is 3.Good luck
8 0
3 years ago
Read 2 more answers
The square root of 40 is between what 2 numbers ?
Alika [10]

Answer:

between 6 and 7

hope it helps you budy

3 0
3 years ago
Read 2 more answers
I need is answer ASAP
Irina-Kira [14]

The 3 Yard loss made the greatest change

3 0
3 years ago
Read 2 more answers
Write each in point-slope form. 1. Line with a slope of 2 and passes through point (3,5).​
zzz [600]

Step-by-step explanation:

follow xxflirtykingxx

7 0
2 years ago
The table shows the number of blue marbles and red marbles that four friends have collected,
evablogger [386]
The lowest ratio is Lucian
7 0
2 years ago
Read 2 more answers
Other questions:
  • Abag is filled with green and blue marbles. There are 49 marbles in the bag. If there are 17 more green marbles than blue marble
    14·1 answer
  • Evaluate the following expression when b = -4 , -4.5b=
    10·1 answer
  • Lisa's penny bank is 1/10 full. After she adds 440 pennies, it is 3/5 full. How many pennies can Lisa's bank hold?
    14·1 answer
  • In circle P, BC = 24 ft. What is the length of AC
    12·1 answer
  • Which of the following ordered pairs would be the origin on a graph?
    11·2 answers
  • Find the missing side<br> Please help thank you!!
    15·2 answers
  • Select the expressions that are equivalent to 4(m+9).
    8·2 answers
  • 0.60 10 000 % = 0.00006% 0 6 X 10-5% ayudemnea resolverlo
    12·1 answer
  • Everyday after school luke and his sister meg play their favorite video game wizarding legend the goal of the game is to earn po
    11·1 answer
  • 4.8 x 2 What is it please can you please show how you did it aswell ​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!