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
VashaNatasha [74]
3 years ago
7

A rectangle with vertices A(6, 0), K(0,0), L(0,9), and M(6, 9) is rotated around the x-axis. To the nearest tenth of a cubic uni

t, what is the volume of the resulting three-dimensional figure? Approximate as 3.14.
Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL.  From the given data

KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.

The volume of the cylinder is

V_{cylinder}=\pi r^2\cdot H.

Then

V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.

You might be interested in
Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul
Debora [2.8K]

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

4 0
2 years ago
Solve 4(a-3) = 22 <br> solve 5(x -6) = 65<br><br> with explanation, please <br> giving 20 points
DaniilM [7]

Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

5 0
3 years ago
Read 2 more answers
Which property explains the step shown in solving the equation?8x − 15 + 6x = 10x − 18 ⇒ 8x + 6x − 15 = 10x − 18
vlada-n [284]

Answer:

Taybrownies1359Step-by-step explanation:

np

7 0
3 years ago
In the figure above AB=4x+6 and BC = 7x+15. If AC<br> 120 find the length of segment AB
Bezzdna [24]

Answer:

42

Step-by-step explanation:

7 0
3 years ago
How to show work for an equation that you can use is 198 +16x=326
Artemon [7]
16x=326-198
16x=128
x=128/16
x=8
3 0
3 years ago
Read 2 more answers
Other questions:
  • If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
    5·1 answer
  • Donna purchased a prepaid phone card for $25. Long distance calls cost
    13·1 answer
  • it takes Sarah 50 minutes to walk to her friend's house 1 3/4 miles away. What is her walking pace in miles per hour?
    5·1 answer
  • Water samples from a particular site demonstrate a mean coliform level of 10 organisms per liter with a standard deviation of 2.
    7·2 answers
  • Given the function f(x) = 2x, find the value of f−1(32).
    13·1 answer
  • What is x and y if x+3=y
    6·1 answer
  • HELP FAST PLEASE MARKING BRAINLIEST AND GIVING LOTS OF POINTS!!!
    14·2 answers
  • △ABC is congruent to △DEF. What is the value of x? Explain how you determined your answer.
    6·1 answer
  • A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?
    10·1 answer
  • Can someone help with this equation?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!