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9-1C Surface Area of Cylinders and Cones

- What are the parts of a cylinder?
- What is the formula for the lateral area of a

cylinder? - What is the formula for the surface area of a

cylinder? - What are the parts of a cone?
- What is the formula for the lateral area of a

cone? - What is the formula for the surface area of a

cone?

Parts of a Cylinder

- A cylinder has two congruent circular bases in

parallel planes. - The axis of a cylinder is the segment that joins

the centers of the bases. - Right cylinderthe axis is perpendicular to the

base. - An altitude of a cylinder is a segment that joins

the planes of the bases and is perpendicular to

them. - The height of a cylinder is the length of the

altitude.

Parts of a Cylinder

radius

altitude

axis

right cylinder

Right or Oblique?

Lateral AreaCan Labels

- What does the lateral area of a cylinder look

like when it is flattened out?

Lateral Area of Cylinders

- The lateral area of a right cylinder is the

product of the circumference of its base and the

height of the cylinder. - LA 2prH

Radius (r)

Height (H)

Surface Area of a Cylinder

- The surface area of a right cylinder is the sum

of its lateral area and the areas of its bases. - SA 2prH 2pr2

Radius (r)

Height (H)

Find the lateral area and the surface area of the

right cylinder.

- LA 2prH
- LA 2p(8)(4)
- LA 201.1 in2
- SA 2prH 2pr2
- SA 2p(8)(4) 2p(8)2
- SA 603.2 in2

8 in

4 in

Find the lateral area and the surface area of the

right cylinder.

- C 18p (2pr)
- LA 2prH
- LA 18p(14)
- LA 791.7 cm2
- SA 2prH 2pr2
- SA 791.7 2p(14)2
- SA 1300.6 cm2

14 cm

Parts of a Cone

vertex

- A cone has a vertex and a circular base.
- The axis of a cone is the segment from the vertex

to the center of the base. - In a right cone, the axis is perpendicular to the

base.

slant height (slant)

axis

height (H)

Right or Oblique?

Lateral Area of Cones

- The lateral area of a right cone is one-half the

product of the circumference of its base and the

slant height of the cone. - LA ½ 2 p r(slant) or
- p (r)(slant)

Surface Area of Cones

- The surface area of a right cone is the sum of

its lateral area and the area of its base. - SA p(r)(slant) pr2

Find the lateral area of a right cone whose base

radius is 4 in and slant height is 11 in.

- LA p(r)(slant)
- LA p(4)(11)
- LA 44p 138.2 in2

11 in

4 in

Find the surface area of the cone.

- SA p(r)(s)pr2
- SA (4)(11)p p(4)2
- SA 44p 16p
- SA 60p 188.5 in2

11 in

4 in

- What are the parts of a cylinder?
- Raduis, altitude (height)
- What is the formula for the lateral area of a

cylinder? - LA 2prH
- What is the formula for the surface area of a

cylinder? - SA 2prH 2pr2
- What are the parts of a cone?
- Radius, slant height
- What is the formula for the lateral area of a

cone? - LA p (r)(slant)
- What is the formula for the surface area of a

cone? - SA p(r)(slant) pr2

Assignment 9-1C

- Page 617, 1-10,
- 18-24 even

NO FORMULAS WITH NUMBERS NO CREDIT

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