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
lozanna [386]
3 years ago
7

How do you do this question?

Mathematics
1 answer:
solniwko [45]3 years ago
3 0

Answer:

V=864π/5

The 2nd shaded picture matches our volume. And the 1st 3D picture maps the volume once rotated.

Step-by-step explanation:

The idea is that you're revolving the graph around an axis and getting a would-be solid objective. Think of it as finding the volume of a cylinder but instead of straight edges going up the height, the height follows a portion of a graph. We take the area of the circle with a variable radius and plug it into the integral:

∫πr²dy/dx

You need to know what axis you're revolving around, determine the radius of the shape, then your height which will determine variable you're integrating with respect to.

  • Your axis of revolution is the y axis.
  • The radius here is going to be the distance from the axis of revolution to some arbitrary point on the curve, which is simply x.
  • Your height is going to be some small y distance, so dy is what we're integrating w/r to and we're told to go from 0 to 6.

So with that we plug in the r and simplify as needed before integrating to get the answer.

My work is in the attachment. Comment with any questions.

You might be interested in
In the interval 0≤x<360°
dedylja [7]

Answer:

Step-by-step explanation:

since -1≤sin2x≤1 no x values would satisfy the equation

5 0
2 years ago
Which is the function represented by the table?
padilas [110]

A. x + 5

According to the table, the function is shifted up 5 units.

8 0
1 year ago
Coach glasses cost $60 to manufacture at the factory. The retail price has a markup of 25%. What is the selling price of the gla
Free_Kalibri [48]

Answer:

Step-by-step explanation: 60 ÷ 0.25 = 240

240 is your selling price

3 0
2 years ago
There are 4 cups in a quart and 4 quarts in a gallon how many cups in a 5 gallon jug of water
Marysya12 [62]
80 cups in a 5 gallon jug of water.

1 quart has 4 cups
1 gallon has 4 quarts
1 gallon = 4 quarts * 4 cups = 16 cups

5 gallons = has 80 cups of water.

(4 cups / 1 quart) x (4 quarts / 1 gallon) x (5 gallons) = 4 x 4 x 5 = 80 cups <u>
</u>
6 0
3 years ago
Read 2 more answers
Find the volume of the figure if length = 1/2 m, width = 1/2 m and height = 6 meters. I WILL GIVE BRAINLIEST PLLZZZ SOMEONE HELP
goldfiish [28.3K]

Step-by-step explanation:

Volume of figure=length×width×height

=(1/2)×(1/2)×6

=0.5×3

=1.5m³

PLEASE GIVE BRAINLIEST

5 0
2 years ago
Other questions:
  • A school gives awards in five subjects to a class of 30 students but no one is allowed to win more than one award. how many outc
    14·1 answer
  • Which statement gives the correct meaning of the underlined sentence in this paragraph? Jake and Paul were late getting to the t
    6·2 answers
  • Write in standard form the equation of the parabola that contains the points (0, 0), (−1, −5), and (2, −2).
    7·1 answer
  • A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below​
    5·1 answer
  • Determine the zeros of the function x2 - 9 = 0
    15·1 answer
  • Factor 3x^3+3x^2+x+1
    14·2 answers
  • GFC if 56 and 84 . The GCF OF 84 and 56 is?
    11·2 answers
  • 1) A worm digs 11/12 of an inch in one minute. Then, it digs another 1 3/4 of an inch in two minutes. What is the position of th
    14·2 answers
  • Let's get the most people to like both of the answers anyone can ask, share this with all of your friends, let's get at least 10
    12·1 answer
  • How much will he be paid in the first 2 years?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!