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
alexandr402 [8]
2 years ago
11

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about the

specified axis. X = 5y2, y ≥ 0, x = 5; about y = 2.
Mathematics
1 answer:
lys-0071 [83]2 years ago
7 0

The volume of the solid of revolution is \frac{7\pi}{3} cubic units.

<h3>How to find the volume of a solid of revolution with respect to an axis parallel to a Cartesian axis</h3>

The statement has been represented in the image attached below, the formula for the solid of revolution is presented below:

V = \pi \int\limits^{1}_{0} {[5\cdot y^{2}-2]^{2}} \, dy (1)

V = \pi \int\limits^{1}_{0} {(25\cdot y^{4}-20\cdot y +4)} \, dy

V = 25\pi\int\limits^1_0 {y^{4}} \, dy -20\pi\int\limits^1_0 {y^{2}} \, dy +4\pi\int\limits^1_0\, dy

V = \frac{7\pi}{3}

The volume of the solid of revolution is \frac{7\pi}{3} cubic units. \blacksquare

To learn more on solids of revolution, we kindly invite to check this verified question: brainly.com/question/338504

You might be interested in
A cylindrical cardboard mailing tube has a diameter of 5 in. and a height of 30 in. A total of 30% of the tube’s capacity is fil
olga2289 [7]
First is to get the volume of the cylinder.
Volume = pi * r^2 * H
Volume = 3.1416 * (5/2)^2 * 30
Volume = 589.05 in^3

30% is already filled.
Filled Space = 589.05 * 0.30
Filled Space = 176.715 in^3
Empty Space = 412.335 in^3

Next, get the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*pi*(0.6/2)^3
V = 0.1130976 in^3

Number of foams = Filled Space / V
Number of foams = 176.715 / <span>0.1130976 
Number of foams = 1562 Foams</span>
5 0
3 years ago
GEOMETRY HELP PLEASE!!! FAST!!!
Lubov Fominskaja [6]

The <em><u>correct answer</u></em> is:

Rotation of 90° counterclockwise about the origin  and a translation 2 units right

Explanation:

A rotation 90° counterclockwise maps each point (x, y) to (-y, x).  This means our points would be:

A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)

A translation 2 units right will add 2 units to the new x-coordinates; this gives us

(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)

These are the points in the image, so this is the correct set of transformations.

7 0
3 years ago
Use decimals to express a probability in tenths.
Alisiya [41]
The answer is 1/10
=.1
4 0
3 years ago
Read 2 more answers
2x^(2/3)+5x^(2/3)=686
mrs_skeptik [129]

Answer:

Step-by-step explanation:

4 0
3 years ago
A group of 52 people attend a ball game. There were three times as many men as women in the group. Write and solve a system of e
kkurt [141]

Answer:

lets call the children, c, and call adult, a,

c+a= 52       eq 1: a=52-c

c=3a            eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.9 kg. Let X b
    9·1 answer
  • Yo can someone help me out
    7·2 answers
  • In​ 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47​% per year.
    11·1 answer
  • What is the slope of tne line to 4x+6y=12
    5·2 answers
  • Alvin is going to take a flight from Seattle, Washington, to Atlanta, Georgia.
    9·1 answer
  • Find the remainder of h^4+h^2-2=h+3
    9·2 answers
  • Highest common factors of 64 and 40
    12·1 answer
  • What are the lengths of the other two sides of the triangle?
    13·2 answers
  • Find the value of x if log3 (x+6) =2​
    14·2 answers
  • Charlene's dress cost $270. Three days later, it went on sale for 35% off. How much could she have saved if she waited three day
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!