![emmi14](/avatars/39582.jpg)
emmi14
15.12.2020 •
Mathematics
Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies inside the cylinder x^2+y^2=12
Solved
Show answers
More tips
- A Auto and Moto What is the Average Lifespan of an Engine in a Car?...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics Esmerelda flips a coin and draws a card. What is the possibility that she gets “heads” and a black card?...
- M Mathematics Data was collected on the amount of food (in grams) served at two restaurants and the price paid for the meal. The regression line for the data appears on the first plot. The...
- M Mathematics Which value of x would make ? 1 6 8 10...
- M Mathematics Which statements are correct interpretations of this graph? select each correct answer. a. there are 1.5 g of dietary fiber per tomato. b. there are 0.7 g of dietary fiber per...
- M Mathematics Select the correct answer from the drop-down menu. simplify the given expression....
- M Mathematics What is the y value of RS=6y+2, ST=2y+7 and RT= 13y-31...
- E English How do you get a boy that you like in the bed with you?...
Ответ:
16π
Step-by-step explanation:
Given that:
The sphere of the radius =![x^2 + y^2 +z^2 = 4^2](/tpl/images/0985/2224/4e2f8.png)
The partial derivatives of![Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}](/tpl/images/0985/2224/b0189.png)
Similarly;
∴
Now; the region R = x² + y² = 12
Let;
x = rcosθ = x; x varies from 0 to 2π
y = rsinθ = y; y varies from 0 to![\sqrt{12}](/tpl/images/0985/2224/a2e50.png)
dA = rdrdθ
∴
The surface area![S = \int \limits _R \int \ dS](/tpl/images/0985/2224/c1987.png)
= 8π ( -2 + 4)
= 8π(2)
= 16π
Ответ:
The answer is A. 10 feet, on Plato.