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
NikAS [45]
3 years ago
9

ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!

Mathematics
1 answer:
posledela3 years ago
8 0

(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)

Use the shell method. Each shell has a height of 3 - 3/4 <em>y</em> ², radius <em>y</em>, and thickness ∆<em>y</em>, thus contributing an area of 2<em>π</em> <em>y</em> (3 - 3/4 <em>y</em> ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ <em>y</em> ≤ 2, thus given by the integral

\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 <em>x</em>), thus contributing an area of <em>π</em> (√(4/3 <em>x</em>))² = 4<em>π</em>/3 <em>x</em>. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ <em>x</em> ≤ 3, or by the integral

\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi

Using either method, the volume is 6<em>π</em> ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

You might be interested in
Given the angles in the diagram, who is closer to the treasure chest and why
Klio2033 [76]
Please see attached file for my answer.
Download docx
5 0
3 years ago
Read 2 more answers
Fraction that is less than 5\6 and has a denominator of 8
Debora [2.8K]
1/8 would be smaller
8 0
3 years ago
A What fractions can you find that are equivalent to 2/3?
SCORPION-xisa [38]

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

3 0
3 years ago
Given: g∥h and ∠1≅∠5<br> Prove: ∠5≅∠3
ioda

Answer:

evewifvnwifvnwiejfvniewjfv

Step-by-step explanation:

6 0
3 years ago
If there is only one space left ob tge bus, what is the probability that you will be picked from a class of 23 students to go on
Dahasolnce [82]
That is 1/23 because that is 1 student out of 23 total students
8 0
3 years ago
Other questions:
  • You draw 2 cards from a standard 52 card deck without replacing them. what is the probability that both cards are of the same su
    8·1 answer
  • 43 Points
    12·2 answers
  • If a bullentin board is 6 ft wide and 4 ft tall. what are the deminsions inside
    6·1 answer
  • В та<br> If B = 49°13' and b - 10 find a<br> a. 4.6<br> b. 8.6<br> C.<br> d.<br> 5.4<br> 6.5
    11·1 answer
  • 9 + (-3) = <br> please explain to me how you got your answer too thanks
    12·2 answers
  • Raphael drove 141.4 miles in 2.8 hours. (Don't label your answer) What was his average speed in miles per hour as a decimal?
    12·1 answer
  • Need help with math question please leave how you got the solution​
    6·1 answer
  • ANSWER AS SOON AS POSSIBLE;please and thank you/Gabby earns $30 per week. Her goal is to save 69,855 how long will it take for g
    12·1 answer
  • Consider two people where one person is 20% taller than the other but proportioned in exactly the same way.​ (That is, the talle
    13·1 answer
  • Write an equation passing through (-6, 7) that is parallel to 5x + 2y = 10
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!