Volume and Surface Area of a Cylinder

Step 1: Take some measurements A) Measure directly across your can to get the diameter. Diameter= ____ cm Radius= ____ cm B) Measure the height of your can. Height= ____ cm C) Measure around your can to get circumference.

TIP: If you do not have one of these, try using a piece of string or ribbon. Just

measure the length of the ribbon/ string using your ruler when

you have finished.

Step 2: Do a Few Calculations! A) Find Circumference Circumference = 3.14 x ____ cm Circumference = ___ cm B) Find Area of the Base Area of the top of the can= 3.14 x ____ cm x ____ cm Area of the top of the can = ____ cm2

Our Measurements: Diameter= ____ cm Radius=. ____ cm Circumference= ____ cmCircumference = 3.14 x Diameter

Area of a Circle = 3.14 x radius x radius

C) Find Area of the Sides ( e.g. Can Label)

Area of a Rectangle= Length x Width Area of the Label

Measure Length: ___ cm Measure Width: ___ cm

Area of Label = Length x Width Area of Label = ___ cm x ___ cm

We can also calculate this area with the label. Circumference = Length Height of Can = Width Area = Circumference of Can x Height of Can Area =. ____ cm x ___ cm Area = ____ cm 2

Our Measurements: Diameter= ____ cm Radius=. ____ cm Circumference= ____ cm

Step 3: Find Volume of Cylinder

Volume of Cylinder = ____ cm2. X ______ cm Volume of Cylinder = ____ cm3 Step 4: Find Surface Area of Cylinder

Surface Area of Cylinder = ____ cm2 + ____cm2 + _____ cm2 Surface Area= ____ cm2

Our Calculations or Measurements Area of Base (Circle): _____ cm2 Height of Can: ____ cm Area of Label: ____ cm 2

Volume of Cylinder = Area of Base x Height of Can

Surface Area of Cylinder = Area of Base (Top) + Area of Base (Bottom) + Area of Label

Summary Volume = _____ cm3 Surface Area=____ cm2