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
solong [7]
2 years ago
6

Region R is bounded by the curves y = 4x^2 and y = 4. A solid has base R, and cross sections perpendicular to the y-axis are sem

icircles with the diameter lying in R. The volume of this solid is
A. pi/4
B. pi/2
C. pi
D. 2pi

Mathematics
1 answer:
vlada-n [284]2 years ago
6 0

Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have

y = 4x²   ⇒   x = ±√y/2

so the diameter for some given y would be √y/2 - (-√y/2) = √y.

The volume of a cross section with thickness ∆y is then

π/2 (√y/2)² ∆y = π/8 y ∆y

The total volume of the solid would then be

\displaystyle \int_0^4 \frac\pi8 y \, dy = \frac\pi8 \times \frac12 y^2 \bigg|_{y=0}^{y=4} = \boxed{\pi}

You might be interested in
Find the measurement indicated in each parallelogram
xenn [34]
QR is congruent to PS
So if QR is 17.7 PS is 17.7
Answer 3.) PS equals 17.7
3 0
3 years ago
Read 2 more answers
Final questions I'm asking if you've been keeping up. Thanks in advance.
GaryK [48]
Question 3 is D and question 4 is c for what I tell of the pictire
5 0
3 years ago
Solve for m f=gmn/d^2
Serggg [28]

f = gmn/d²

gmn = fd²

m = fd²/gn

4 0
3 years ago
On a number line, what is the distance between -17 and 9?
MArishka [77]

Answer:

IM struggling with the too D:

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP PLEASE PLEASE
sp2606 [1]

Answer:

14.8

Step-by-step explanation:

By the Pythagorean theorem, ...

... x² = 7² + 13² = 218

... x = √218 ≈ 14.7648 ≈ 14.8

4 0
3 years ago
Read 2 more answers
Other questions:
  • What percent was the server's tip if the customer left $1.75 for a $12.50 meal.
    6·1 answer
  • From least to greatest 0.44, 87/200, 43.7%, 21/50
    14·1 answer
  • What is the measure of WX shown in the diagram below
    10·1 answer
  • If 9<15mx-8<27, where m is a positive constant, what is the possible range of values of 8/3 -5mx?
    7·2 answers
  • Trigonometry Story Problem? A gondola on an amusement park ride spins at speed of 13 revolutions per minute. If the gondola is 2
    5·1 answer
  • HURRY ILL GIVE BRAINLIEST!!
    6·2 answers
  • Evaluate each function.<br> 15) f(n)= n° + 3n?; Find f(-4a²)
    9·1 answer
  • Someone help please
    7·1 answer
  • Plz help due tomorrow
    13·1 answer
  • HURRY PLEASE I NEED HELP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!