Final answer:
The volume of a cylinder with a diameter of 8 cm and a height of 7 cm is approximately 351.904 cubic centimeters, calculated using the formula V = πr²h.
Step-by-step explanation:
To calculate the volume of a cylindrical object with a given diameter of the base and height, you can use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
Since the diameter is given as 8 cm, the radius (which is half of the diameter) will be 4 cm. The height is given as 7 cm. The next step is to substitute these values into the formula:
- Convert diameter to radius: radius r = diameter/2 = 8 cm / 2 = 4 cm.
- Plug the values into the formula: V = π * (4 cm)² * 7 cm.
- Calculate the volume: V = π * 16 cm² * 7 cm = π * 112 cm³.
- If we use π as approximately 3.142, the volume becomes: V = 3.142 * 112 cm³ = 351.904 cm³.
Therefore, the volume of the cylinder is approximately 351.904 cubic centimeters.