What is the volume of a cylinder with a base area of 20 square units and a height of 4 units?

What is the volume of a cylinder with a base area of 20 square units and a height of 4 units?

• A. 40 cubic units
• B. 60 cubic units
• C. 80 cubic units
• D. 100 cubic units

Answer: (A)

To find the volume of a cylinder, you can use the formula: \[ \text{Volume} = \text{Base Area} \times \text{Height} \] In this problem, the base area of the cylinder is given as 20 square units, and its height is given as 4 units. By substituting these values into the formula, we get: \[ \text{Volume} = 20 \, \text{square units} \times 4 \, \text{units} \] Calculating this gives: \[ \text{Volume} = 80 \, \text{cubic units} \] Thus, the correct volume of the cylinder is 80 cubic units. Understanding this formula is key, as it shows the direct relationship between the cylinder's dimensions and its volume. The base area signifies how much space the bottom of the cylinder occupies, and when multiplied by the height, it provides the three-dimensional space that the cylinder encloses. The correct answer illustrates an essential concept in geometry: how to apply simple multiplication to calculate volume based on certain given measurements.

To find the volume of a cylinder, you can use the formula:

[ \text{Volume} = \text{Base Area} \times \text{Height} ]

In this problem, the base area of the cylinder is given as 20 square units, and its height is given as 4 units. By substituting these values into the formula, we get:

[ \text{Volume} = 20 , \text{square units} \times 4 , \text{units} ]

Calculating this gives:

[ \text{Volume} = 80 , \text{cubic units} ]

Thus, the correct volume of the cylinder is 80 cubic units. Understanding this formula is key, as it shows the direct relationship between the cylinder's dimensions and its volume. The base area signifies how much space the bottom of the cylinder occupies, and when multiplied by the height, it provides the three-dimensional space that the cylinder encloses.

The correct answer illustrates an essential concept in geometry: how to apply simple multiplication to calculate volume based on certain given measurements.