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
klio [65]
3 years ago
6

Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cy

lindrical coordinates to find the volume of the region. Do NOT actually integrate.
Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

You might be interested in
What does this equal​
Anton [14]
In simplify the expression =
1.56 • 10^52 + 3.5 • 10^48
5 0
3 years ago
A pilot is flying a CRJ-900 from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off or land if the temperat
ioda

We need to find an inequality that represents the possible landing or take of conditions of an aircraft, the required graph and one case where the inequality will be tested.

The required inequality is -40.

The graph represents the allowable temperature range in which the aircraft can takeoff or land.

The pilot could not have taken off on June 1990, the temperature in Phoenix, Arizona.

Let the temperature be denoted by x

The temperature cannot be at or below -40^{\circ}\text{F}, so

x>-40

The temperature cannot be at or above 118^{\circ}\text{F}, so

x

The inequality will be -40.

In the graph it can be seen that all points between -40 and 118 falls in the shaded region but it will exclude the points -40 and 118.

The graph represents the allowable temperature range in which the aircraft can takeoff or land.

The temperature in June 1990 in Phoenix, Arizona was 122^{\circ} which is more than 118^{\circ}\text{F}.

Hence, the pilot could not have taken off on this day.

Learn more:

brainly.com/question/20383699

brainly.com/question/11612965

4 0
2 years ago
Which is a rational number?   A.9   B. 15   C. 28   D. 52
Law Incorporation [45]
A rational number is a number that can be expressed as a fraction, therefore all integers are rational numbers
5 0
3 years ago
Lincoln High schools basket ball team won the regional playoffs scoring a total of 60 points, not including free throws. The tea
CaHeK987 [17]

Answer: 18

Step-by-step explanation:

Let x be the number of 2 point baskets made and y be the number of 3 point baskets made

:

1) x + y = 26

:

2) 2x + 3y = 60

:

solve equation 1 for x and substitute in equation 2

:

x = 26 - y

:

2(26 - y) +3y = 60

:

52 -2y +3y = 60

:

y = 8

:

x = 26 - 8 = 18

:

******************************

The team made 18 2-point shots

5 0
3 years ago
Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
SVETLANKA909090 [29]
You need to figure out how many square feet one paint can will be able to paint, then take the 24 square feet and divide it by the how much the paint can can paint, then you’ll have how many paint cans you need
0 0
3 years ago
Other questions:
  • Use the quadratic formula to solve x2 + 7x + 8 = 0. Estimate irrational solutions to the nearest tenth.
    7·1 answer
  • The perimeter of a square can represent by 16x + 24. Willa wants to write an equivalent expression for the perimeter that shows
    11·1 answer
  • Did I get the correct answer?
    13·2 answers
  • 5.75% of x = 28000<br> What is x?
    13·1 answer
  • What is the solution to 5x - 3 = 12SHOW YOUR WORK
    5·1 answer
  • While driving to the school, I was 20 miles from the school at 7:00. By 7:15, I was 8 miles away from the school. What was my ra
    5·1 answer
  • If a regular polygon has 72 sides and an order of 72,what is the polygon’s rotational angle?
    6·1 answer
  • Please help me out with this problem ​
    7·1 answer
  • Select the correct answer:
    14·1 answer
  • What is the volume of a sphere with a radius of 5.9 in, rounded to the nearest tenth of a cubic inch?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!