Find the volume of the solid bounded by the sphere x² + y² + =? = 6 and the paraboloid := x² +y² . GV6-11 Volume = 27 3

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2.
Find the volume of the solid bounded by the sphere x² + y² + =² = 6_and the paraboloid = =x² + y° .
6V6-11
Volume = 27
3
Using a triple integral, find the volume of the region outside the sphere xr² +y² +(= -1)² = 1, inside the
sphere x + y² +
3.
= 4, and bounded below by - = 0.(Volume = 47)
Transcribed Image Text:2. Find the volume of the solid bounded by the sphere x² + y² + =² = 6_and the paraboloid = =x² + y° . 6V6-11 Volume = 27 3 Using a triple integral, find the volume of the region outside the sphere xr² +y² +(= -1)² = 1, inside the sphere x + y² + 3. = 4, and bounded below by - = 0.(Volume = 47)
Directions: Evaluate the integral.
na
3.
x'dzdydx
24
/8-x²-3²
32(2/2-1)=
4.
*dzdxdy
15
** (r* +y² +=³)° dzdydx
14
5.
Transcribed Image Text:Directions: Evaluate the integral. na 3. x'dzdydx 24 /8-x²-3² 32(2/2-1)= 4. *dzdxdy 15 ** (r* +y² +=³)° dzdydx 14 5.
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