Chapger 12 Part 2 Flashcards
(27 cards)
Oblique Cylinder
Is a cylinder that is not right
Thm 12-3 Lateral Area of a Cylinder
If a cylinder has a radius r an height h then L=2(3.14)rh
Thm 12-4 Surface Area of a Cylinder
If a cylinder has a radius r and height h then S=2(3.14)rh+ 2(3.14) r squared.
Volume
Measures the space contained within a solid
Thm 12-5 Volume of a Prism
If a Prism has a base with area B and height h then V=Bh
Thm 12-6 Volume of a Cylinder
If a cylinder has a radius r and height h then V=(3.14)r squared(h)
Altitude of a Pyramid
Is the perpendicular segment from the vertex to the plane containing the base
Right Pyramid
The altitude is perpendicular to the base at its center
Oblique Pyramid
Is a pyramid that is not right
Regular Pyramid
A pyramid iff it is a right pyramid and its base is a regular polygon
Slant Height of the Pyramid
The height of each lateral face
Thm 12-7 Lateral Area of a Regular Pyramid
If a regular pyramid has a base with a perimeter of P and slant height of l then L=Pl/2
Thm 12-8 Surface Area of a Regular Pyramid
If a regular pyramid has a slant height of l and a base with a perimeter P and a base with an area of B then S=Pl/2+B
Altitude of a Cone
Is the perpendicular segment from the vertex to the plane containing the base
Right Cone
The altitude is perpendicular to the base at its center
Oblique Cone
Is a cone that is not right
Thm 12-9 Lateral Area of a Cone
If a cone has a slant height of l and a base with a radius of r then L=(3.14)rl
Thm 12-10 Surface Area of a Cone
If a cone has a slant height of l and a base with a radius r then S=(3.14)rl +(3.14) r squared
Thm 12-11 Volume of a Pyramid
If a pyramid has a height of h and the bases has the area of B then V= Bh/3
Thm 12-12 Volume of a Cone
If a cone has a radius of r and a height of h then V=3.14r squared(h)/3
Sphere
Is the set of all points in space that are a given distance from a given point
Thm 12-13 Surface Area of a Sphere
If a sphere has a radius r then S=4(3.14)r squared
Thm 12-14 Volume of a Sphere
If a sphere has a radius of r then V=4(3.14) r cubed/3
Similar Solids
Are solids that have the same shape but are not necessarily the same size