- #1
masterchiefo
- 212
- 2
Homework Statement
S is the sphere of equation x2 + y2 + z2 = 10z and C the cone of equation
z= sqrt(3*( x2 + y2)) . The axes are measured
centimeters.
R of sphere = 5
D = 10
Total height is 10 cm
Illustrate the solid E bounded by the C cone and the sphere S and calculate its volume using the details
Spherical.
Homework Equations
The Attempt at a Solution
To find phi:
x=0
z= sqrt(3*( x2 + y2))
z= sqrt(3*( 02 + y2))
z= y*sqrt(3)
y= 3 <== I picked 3, could of picked any number, its just to find the Z and then find the angle.
z= 3*sqrt(3)
tan(phi)=3/(3*sqrt(3))
phi = pi/6 ===30degree
Theta = 2*pi
$=integral
2*pi$0 pi/6$0 10*cos(phi)$0 p2*sin(phi) dp dphi dtheta
229.074cm3