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
To safely cross a bridge, the most a delivery truck can weigh is 4 tons. The empty truck and driver weigh a total of 5,690 pound
brilliants [131]

Answer:

Truck can safely carry <em>2310 pounds </em> of cargo.

Step-by-step explanation:

Given the safety limit of weight to cross the bridge safely is 4 tons.

1 ton is equal to 2000 pounds.

so, 4 tons are equal to 2000 \times 4 = 8000 pounds

Now, given that

weight of empty truck and driver = 5690 pounds

To find:

Weight of cargo that the truck can safely carry ?

Solution:

Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.

So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo

Weight of Cargo = 8000 - 5690 pounds

Weight of Cargo = <em>2310 pounds</em>

Truck can safely carry <em>2310 pounds </em> of cargo.

7 0
3 years ago
Jared stacked 16 boxes of pens. There are 144 pens in each box. How many pens did Jared stack?
postnew [5]

Answer:

2304 pens

Step-by-step explanation:

well 16 box with 144 pens in each just multiply to get 2304 pens that he stacked

4 0
3 years ago
He needs 35.5 feet long fist two life's are 7.3 feet long and 6.8 feet long. How much more rope does Robbie need
Ierofanga [76]

Answer:21.4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
a standard coffee mug has a capacity of 16 FL OZ. if annie needs to fill 26 mugs with coffee, how many total quarts of coffee do
PilotLPTM [1.2K]

Answer:

13

Step-by-step explanation:

16*26 = 416

Converting fl oz to quarts is x/32

16/32 = 0.5 quarts

416/32 = 13

7 0
3 years ago
What are the steps to solving 17496 divided by 91?
irga5000 [103]
The answer is 192.2.....
is continues on forever

Hope this helps!

4 0
3 years ago
Other questions:
  • Jamle's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit
    14·1 answer
  • Which of the following is equivalent to the complex number<br><img src="https://tex.z-dn.net/?f=i%20%5E%7B34%7D" id="TexFormula1
    7·1 answer
  • The dimensions of a figure are shown below.<br> Cuestion 21
    8·1 answer
  • The value of 7 + 4 · 5 is 27. True False
    15·1 answer
  • The best way to solve the equation log 6 (6)^7 = x is
    8·1 answer
  • Which equation represents the
    12·1 answer
  • Use the information provided to write the equation of each circle. Photo attached
    6·1 answer
  • What is the value of x in the diagram?<br> (x + 45)<br> (x + 105)
    9·1 answer
  • Below is a table of values representing a function/linear equation. What is the slope? Explain how you got it.
    9·1 answer
  • Simply the algebraic expression completely 5y-3(y+2)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!