Final answer:
To calculate the volume of the cylinder with radius 14 units and height 5 units, we use the formula V = πr²h, which gives us a volume of 3078.76 cubic units.
Step-by-step explanation:
The student has asked about calculating the volume of a cylinder when given the radius (r) and height (h) of the cylinder. To find the volume of the cylinder, the formula V = πr²h is used, where V represents volume, π (pi) is approximately 3.14159, r is the radius of the circular base, and h is the height of the cylinder.
Given that r = 14 units and h = 5 units, the calculation would be:
- V = πr²h
- V = 3.14159 × (14 units)² × 5 units
- V = 3.14159 × 196 units² × 5 units
- V = 3.14159 × 980 units³
- V = 3078.76 units³
Therefore, the volume of the cylinder is 3078.76 cubic units.