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
statuscvo [17]
3 years ago
7

Refer to the figure and find the volume V generated by rotating the given region about the specified line.

Mathematics
1 answer:
ANEK [815]3 years ago
7 0
Volume generated by the areas R2 + R3 around the line OC
= (1/3) pi 1^2 * 3  =  pi sq units

Volume generated by area R2 around OC  is found as follows

the  equation of the curve can be written as  x = y^4 / 81

Integral between limits y =  0 and 3  of  the curve is  

pi INT  x^2 dy    = INT pi  y^8 / 81^2  dx   

= pi [3^9 / 9*81^2] 

= pi/3

So the volume generated by R3 about OC = pi - pi/3  = 2pi/3 


You might be interested in
Jenna can buy 5 golf balls at Golf Central for $9.20 or 4 golf balls at Strictly Golf for $7.60. Jenna wants to buy 20 golf ball
Sophie [7]

Answer:

$1.20

Step-by-step explanation:

9.20 x 4 = 36.8

7.60 x 5 = 38

38 - 36.8 = 1.20

8 0
2 years ago
Read 2 more answers
Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'
AleksandrR [38]
Let's start by assuming Armando's house is between Joey's and the park. 

Let x be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. 

</span>\dfrac{9}{10} = x + \dfrac{3}{5}

x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}

That's probably the answer they're looking for.  But what if the park is between Joey and Armando's houses or Joey is between the park and Armando?  (The latter isn't really possible with the given distances.)

Let a, b, c be the distances between three collinear points like we have here.  Our equation is really a few equations in one, something like

\pm a \pm b = \pm c

Let's get rid of the plus/minuses. Squaring,

a^2 + b^2\pm 2ab = c^2

\pm 2ab = c^2-a^2-b^2

4a^2b^2 = (c^2-a^2-b^2)^2

For us, that's a quadratic equation for c^2

4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2

I'll skip right to the solutions,

c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}


c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0
3 years ago
What is 2 2 minus 4 plus 2?
Rom4ik [11]
22 minus 4 plus 2 is 20
4 0
2 years ago
Read 2 more answers
Hello, can someone please help me with this problem. Thank you.
fredd [130]

Answer:

m = -\frac{31}{18}

Step-by-step explanation:

m = \frac{16 - -15x}{0-18}

4 0
2 years ago
Read 2 more answers
The sum of X and fifteen
zhuklara [117]

x+15

depends on the value of x

7 0
3 years ago
Read 2 more answers
Other questions:
  • The net of a square pyramid is show: what is the surface area of the figure? 20 points answer
    15·1 answer
  • What fraction is larger 2/9 or 2/5
    7·2 answers
  • Which trigonometric values equal 0? Check all that apply.
    13·2 answers
  • Which of the following are endpoints of the segments shown in the picture? Check all that apply.
    11·1 answer
  • Geometry, Thanks if you help! question 3
    5·1 answer
  • I need help with 36 please ❤️❤️
    12·1 answer
  • A recipe calls for 3 1/2 cups of milk and makes 10 servings. How many cups of milk are needed for 8 servings? (Hint: Set up a pr
    14·1 answer
  • PLS HELP!! WILL GIVE BRAINLIEST!!
    12·2 answers
  • Which fraction is greater 2/5 or 4/10
    5·1 answer
  • How do i solve for x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!