This document defines different types of cones and provides formulas to calculate their volume, surface area, and other properties. It explains that a right cone has its vertex directly above the center of its circular base, while an oblique cone's vertex is offset. Formulas are given for the volume and surface area of cones and conical frustums (truncated cones). An example calculation is provided to find the height of water in a conical container given the volume.

2.  A cone is a solid that has a circular base and a
single vertex.

3.  Right Cone- Vertex is over the center of the
base.
 Oblique Cone- Vertex is not over the center
of the base

4.  The volume of a cone is given by the formula:
Where:
r is the radius of the circular base,
h is the height - the perpendicular distance from
the base to the vertex.
 Same for both right angle and oblique.
Volume =

6. The diagram below shows a conical container filled with
water.The base of the cone lies on a horizontal table.The
volume of water is 821 1/3 cm3.
Using pi = 22/7, calculate the
height, in cm, of the water in the
container.

7.  The surface area of a cone is given by the formula
Where:
r is the radius of the circular base,
s is the slant height of the cone.
 But there are no formulas for oblique cone.

8.  A conical frustum is a frustum created by
slicing the top off a cone (with the cut made
parallel to the base).
 To find the slant height, we have to use
 The formula of the surface area is
Area=
without the area for both circles.

9.  The formula for frustum of a pyramid or frustum of
a cone is given by
Where:
h = perpendicular distance between A1 and A2 (h is
called the altitude of the frustum)
A1 = area of the lower base
A2 = area of the upper base
Note that A1 and A2 are parallel to each other.

10.  http://www.mathalino.com/reviewer/derivati
on-of-formulas/derivation-of-formula-for-
volume-of-a-frustum

11.  Calculate the:
 1)Volume of the cone.
 2) Surface area of the cone.
 3)Volume of the conical frustrum.
 4) Surface area of the conical frustrum.
Height of
water = 7