Final answer:
The volume of the cylinder with a diameter of 8 cm and height of 10 cm is calculated using the formula V = πr²h and is found to be 160 π cm³, which corresponds to answer a).
Step-by-step explanation:
The volume of a cylinder is calculated by the formula V = πr²h, where V stands for volume, r for radius, and h for height. Given a cylinder with a diameter of 8 centimetres, we first find the radius by dividing the diameter by 2, which gives us a radius of 4 centimetres. Using the formula:
V = π × 4 cm × 4 cm × 10 cm
= π × 16 cm² × 10 cm
= 160 π cm³
The correct answer is a) 160 π cubic centimetres.