TechMathII - 2.6 - Area and Surface Area

Bell Ringer

TO FIND THE SURFACE AREAOF A CYLINDER:

SA= 2πr² + 2πrh Area of 2 circles + Circumference times height

EXAMPLEThis soup can has a diameter of 2.625 inchesand a height of 3.875 inches.

To find the Surface area and volume the soup can:

SA= 2πr² + 2πrh

Next use the formula to fine the Volume: (area of the base times height)V = Bh = πr²hV = 3.14 * 1.3125² * 3.875V = 20.96

Find the surface area and volume of a cylinder with a diameter of 15 feet and height of 20 feet.

Find the surface area and volume of a cylinder with a radius of 12 feet and height of 22 feet.

You Try: Find the surface area and volume

Diameter is 22 metersHeight is 53 meters

SA= 2πr² + 2πrh

V = Bh = πr²h

Surface Area and Volume of a Sphere

Example:SA = 4πr² V = V = 4/3 πr³

The radius of the Weather balloon is 3 feet

Surface Area and Volume of a Sphere

Example:SA = 4πr² V = 4/3 πr³

The radius of the ball is 23 cm.

You Try!

• Find the Surface Area and Volume of a Basketball with a radius of 50 cm.

• SA = 4πr² V = 4/3 πr³