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 =
5.
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.
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
