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
prohojiy [21]
3 years ago
10

PLEASE HELP ASAP! NO SCAMS ALLOWED!

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

V=\pi\int\limits^5_3 {3^2}-0^2 \, dx  and

V-\pi\int\limits^5_3 {9} \, dx  and integrating:

V=\pi(9x\left \} {{5} \atop 3}} \right. and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

You might be interested in
What is the greatest common factor of 15 and 45? Explain your answer.
timofeeve [1]
Factors of 15: 1, 3, 5, 15

<span>Factors of 45: 1, 3, 5, 9, </span>15, 45

<span>The Greatest common factor is 15.</span>
6 0
3 years ago
Convert equation from slope intercept form to standard form y=-7/3x+1
Andrews [41]

Answer:

7x + 3y = 3

7x + 3y = 3

7x + 3y = 3

4 0
2 years ago
The pre–image, A, was dilated about the origin. It was then transformed in another way to get A'.
Elenna [48]

Answer:

reflection over the x-axis

Step-by-step explanation:

i hope this helps

6 0
3 years ago
Read 2 more answers
What type of angle is angle G?<br><br> A. obtuse<br> B. straight<br> C. acute<br> D. right
lianna [129]

Step-by-step explanation:

the correct answer is c

4 0
3 years ago
Read 2 more answers
Graph the system of​ equations, and determine the solution.<br> x+4y=8
bekas [8.4K]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • anjaya is making punch. He uses 1··3c of pineapple juice for every 3··4c of orange juice. How many cups of pineapple juice does
    8·1 answer
  • The ratio of peanuts to cashews in a mix is 5 to 7.How many ounces of peanuts are there in a 48-ounces jar of the mix
    10·2 answers
  • an electrician can wire on average 4.5 houses in a week. how many months will it take her to wire houses if she wires the same n
    15·1 answer
  • The sum of two numbers is nineteen. One number is five more than the other. Find the numbers.
    6·1 answer
  • Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4.
    6·1 answer
  • Question 5 of 27<br> What is the measure of ZC in the parallelogram shown?
    12·1 answer
  • Plzzzzz helpppp!!!!!!
    9·2 answers
  • Write the expression as a trinomial (5c+2)(2c-1)
    8·2 answers
  • Quick guys I need help
    10·1 answer
  • Which of the following statements holds true about the number group on the home tab. a) The number group contains options for ch
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!