The volume of the cylinder is found using the formula V = πr²h. With a height of 12 cm and a diameter of 8 cm, the calculated volume is 576 cm³.
Step-by-step explanation:
To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents volume, π (pi) is a mathematical constant, r is the radius of the cylinder's base, and h is its height. In this case, we're provided with a cylinder height of 12 cm and a diameter of 8 cm. To find the radius, we divide the diameter by 2, giving us a radius of 4 cm.
Using the value of π as 3, as instructed, we plug the values into the formula:
Calculate the radius: radius (r) = diameter / 2 = 8 cm / 2 = 4 cm
Plug the numbers into the formula: V = πr²h = 3 × (4 cm)² × 12 cm
Calculate the volume: V = 3 × 16 cm² × 12 cm = 3 × 192 cm³ = 576 cm³
The volume of each cylinder is 576 cm³.
The probable question can be: Gifts are packaged in cylinders. each cylinder is 12 cm high with a diameter of 8 cm. calculate the volume of each cylinder. use 3 as a value for π give your answer using the correct units.