Answer:
Volume (V) ≈ 804.3 cm³
Step-by-step explanation:
Given the diagram of a cylinder with the following dimensions:
Diameter = 8 cm
Height = 16 cm
We can use the following formula for finding the volume of a cylinder:
Volume (V) = πr²h
Since the formula requires the value of the cylinder's radius, we can derive this value from the given diameter of 8 cm.
- We know that the radius of a circle is half the measure of its diameter.
Thus, the radius of the cylinder is 4 cm.
Substitute the given values for the height and the derived measure of the radius into the following formula for the volume of a cylinder:
Volume (V) = πr²h
Volume (V) = π(4)²(16)
Volume (V) = π(16)(16)
Volume (V) = 256π
Volume (V) ≈ 804.25 cm³ or 804.3 cm³
Therefore, the volume of the given cylinder is approximately 804.25 cm³ or 804.3 cm³.
