Download Pyramids and Cones

Pyramids and Cones
A _____________ is a polyhedron in which one face (the _____) can be
any polygon and the other faces (the _____________ ________) are triangles
that meet at a common vertex (called the ___________ of the pyramid.
You can name a pyramid by the shape of its base. The ___________________
of a pyramid is the perpendicular segment from the vertex to the plane of the base.
The length of the altitude is the __________ h of the pyramid.
A __________________ ____________ is a pyramid whose base is a regular polygon and whose lateral faces
are congruent isosceles triangles. The _________ _____________ l is the height of the altitude of a lateral face
of the pyramid.
In this book, you can assume that a pyramid is regular unless stated otherwise.
A _______ is “pointed” like a pyramid, but its ______is a ____________. In
a __________ _____, the _________ is a perpendicular segment from the
_________ to the center of the base. The _______ h is the length of the altitude.
The __________ _________ l is the distance from the vertex to a point on the edge of the base.
The formulas for the lateral area and surface area of a pyramid and cone are:
Lateral Area:
Surface Area:
Recall that the _________ of a figure is the amount of _________ a figure occupies.
Volume:
Find the lateral area, surface area and volume of each cone. Round your answers to the nearest whole
number.
1.
2.
3.
4.
Find the lateral area, surface area and volume of each pyramid. Round your answers to the nearest
tenth.
5.
6.
6.
8.
Surface Area and Volume of Spheres
A sphere is the set of all points in space equidistant from a given point called the center.
You can think of a sphere as a ball.
• r
Write a definition for the radius of a sphere in your own words:
Write a definition for the diameter of a sphere in your own words:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Surface Area = 4r 2
Volume =
4 r 3
3
Find the surface area and volume of each sphere.
5 ft.
•
•
18 in.
Name _____________________________________ Class ____________ Date _____________
Sphere Practice
Surface Areas and Volumes of Spheres
Find the surface area and volume of each sphere. Round your answers to the nearest tenth.
1.
2.
3.
The volume of each sphere is given. Find the surface area. Round your answers to the nearest whole
number.
4.
5.
Use the given circumference to approximate the volume of each object. Round your answers to the
nearest whole number.
6. a basketball with
7. a golf ball with