Volume of Cylinders

Front

V represents...

Back

Volume

Front

What is the formula for volume of a CYLINDER?

Back

V = πr²h

Front

h represents...

Back

Height

Front

Find the volume of the cylinder with radius 3 cm and height 5 cm. Use 3.14 for π.

Back

V = πr²h = 3.14 * 3² * 5 = 141.3 cm³

Front

Find the volume of the cylinder with radius 2 in and height 4 in. Use 3.14 for π.

Back

V = πr²h = 3.14 * 2² * 4 = 25.12 in³

Front

What does π (pi) represent in the volume formula?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

What is the relationship between the radius and diameter of a cylinder?

Back

The diameter is twice the radius (d = 2r).

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of 4, since V = πr²h and volume is proportional to the square of the radius.

Front

What units are used for measuring volume?

Back

Common units for volume include cubic centimeters (cm³), cubic inches (in³), liters (L), and milliliters (mL).

Front

How do you convert from cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters (cm³). To convert, divide the volume in cm³ by 1000.