surface area of cylinders unit 5, lesson 3. what is a cylinder? definition: –a three dimensional...
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Surface Area of Cylinders
Unit 5, Lesson 3
What is a Cylinder?
Definition:– A three dimensional
figure with 2 circular bases.
Formula for Surface Area:
rhrSA 22 2
Why?
Find the area of a circle
By Bill Rawlins
Find the area of a circle
2rA
By Bill Rawlins
Find the area of both circles
22 rA
By Bill Rawlins
Find the circumference of a circle
By Bill Rawlins
Find the circumference of a circle
rC 2By Bill Rawlins
Find the area of a rectangle
By Bill Rawlins
Find the area of a rectangle
lwA r2
l
w
hBy Bill Rawlins
Find the surface area of a cylinder
Area Surface 22 r rh2
By Bill Rawlins
Example
Calculate the surface area of:
What is the radius?13 2 = 6.5
rhrSA 22 2 65.625.62 2 SA
785.84 SA 25.162 ft
Lateral Area of a Cylinder:
The L.A. is the cylinder without the circular bases.
L.A. = 2rh
Find the Lateral Area:
The radius of the base of a cylinder is 4 in. and its height is 6 in. What is the Lateral Area?
L.A. = (2r)(h) = 2(4)(6) = 48 in2