The cone equation gives

which means that the intersection of the cone and sphere occurs at

i.e. along the vertical cylinder of radius

when

.
We can parameterize the spherical cap in spherical coordinates by

where

and

, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is

. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

Now the surface area of the cap is given by the surface integral,




Answer:
1. 54 and 9/20 km
2. 80 mm
3. 1.142 mi
4.0.83333 cm
Step-by-step explanation:
Do them all by the butterfly method.
Answer:
144 it is D
Step-by-step explanation:
CscA = 1/sinA
CosACscA = cosA × 1/sinA = cosA/SinA = cotA
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