ANALYTICAL GEOMETRY HELP

[jennsunn]

I was hoping you could help me with these:


1.Find the exact volume and the exact lateral area of the solid formed when the region bounded by Quadrant I bye the lines x = 9, and y = 5 is revolved around the x-axis.


2. A CIRCLE HAS ITS CENTER AT THE POINT (-2,3). iF ONE ENDPOINT OF THE DIAMETER IS AT (3,-5), FIND THE OTHER ENDPOINT.

3. THERE ARE TWO POINTS ON THE X-AXIS AT A DISTANCE OF SIX UNITS FROM THE POINT (3,1). DETERMINE THE COORDINATES OF EACH POINT.

I HAVE NO IDEA WHAT I AM DOING SO THIS WILL BE GREATLY APPRECIATED! THANKS :lol:

 

[pka]

The solid formed when the region bounded by Quadrant I by the lines x = 9, and y = 5 is revolved around the x-axis.
This is just a cylinder of radius 5 and height 9.

 

[jennsunn]

im sorry i dont understand. what about the two other questions? please help!

 

[Gene]

1) If you are in analytic geometry and don't know the formulas from solid geometry for cylinders you really have problems.
v = bh = pi*r²*h
a = 2*pi*r*h

2) Look at what two numbers you add to -2 and 3 to get 3 and -5. Subtract them from -2 and 3

3) You have two right triangles with height 1 and hypot 6.
v = sqrt(6²-1²)
The points are (3+v,0) and (3-v,0)

4) IT IS IMPOLITE TO TYPE IN CAPS.