Volume of Cylinders Flashcard

Front

What is volume?

Back

The amount of three-dimensional space occupied by an object.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

If the radius of a cylinder is 8 cm and the height is 4 cm, what is the volume?

Back

128 cm^3.

Front

If the radius of a cylinder is 10 cm and the height is 2 cm, what is the volume?

Back

200 cm^3.

Front

If the radius of a cylinder is 12 cm and the height is 3 cm, what is the volume?

Back

216 cm^3.

Front

If the radius of a cylinder is 5 cm and the height is 3 cm, what is the volume?

Back

25 cm^3.

Front

What units are used to measure volume?

Back

Cubic centimeters (cm³), liters (L), and milliliters (mL) are common units.

Front

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

Back

π is a mathematical constant approximately equal to 3.14, used to calculate the area of a circle.

Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Front

How does changing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume linearly, as volume is directly proportional to height.