501 Geometry Questions

(Jacob Rumans) #1

Therefore, the (2πr)(h) in the formula is actually a calculation of the side of
the cylinder.


The volume of a Cylinder is:V = (πr^2 )(h)

Calculating the volume of a cylinder is similar to calculating the volume
of a right prism, in that it is the (area of the base)(height). This is an easy
way to remember the formula!


Cones


A cone is similar to a cylinder, except it only has a circular base on one end,
and the other end is a single point. The distance from that singular point
to the center of the circular base is the height of the cone. The volume of
a cone is ^13 of the volume of a cylinder with the same height and radius:


The volume of a Cone is: V= ^13 (πr^2 )(h)

Spheres


A sphere is a set of points equidistant from one central point. This is the
mathematical definition for the shape of a basketball! Sphere’s are only
measured by the length of their radii; they do not have a separate height like
cylinders and cones.


The surface area of a Sphere is: SA= 4 πr^2

The surface area of a sphere is four times the area of a circle.

The volume of a Sphere is: V = ^43 πr^3

501 Geometry Questions
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