Surface Area and Volume for Spheres
The endpoints of a diameter of a great circle
What are poles?
1.) By one point 2.) By a circle 3.) By a great circle
What are the three ways a plane can intersect a sphere?
Sphere is 2/3 of cylinder volume
What fraction of a cylinder's volume is equal to a sphere's volume, given they have the same dimensions?
A segment that connects any two points on the sphere
What is a chord?
A chord that contains the center of the sphere
What is a diameter?
A cross section of a sphere that contains the center
What is a great circle?
Two half-spheres that are created by a great circle
What is a hemisphere?
A segment from the center of a sphere to a point on the sphere
What is a radius?
The locus of all points in space that are a given distance from a given point called the center of the sphere
What is a sphere?
A line that intersects the sphere in exactly one spot
What is a tangent?
S = 3πr²
What is the formula for surface area of a hemisphere?
S = 4πr²
What is the formula for surface area of a sphere?
V = 2πr³/3
What is the formula for volume of a hemisphere?
V = 4πr³/3
What is the formula for volume of a sphere?
Only radius
What must be known for all sphere and hemisphere volume/surface area formulas?
