Final answer:
To find the lateral surface area and volume of a cylinder, use the appropriate formulas and substitute the given values. For this specific cylinder, the lateral surface area is 24.68925 cm² and the volume is 9.278 cm³.
Step-by-step explanation:
To find the lateral surface area and volume of a cylinder, we need to use the following formulas:
Lateral Surface Area (A) = 2πrh
Volume (V) = πr²h
Given that the radius (r) of the cylinder is 0.750 cm and the height (h) is 5.25 cm, we can plug in these values into the formulas to find the lateral surface area and volume.
Lateral Surface Area:
A = 2 × 3.142 × 0.750 cm × 5.25 cm
A = 24.68925 cm²
Volume:
V = 3.142 × (0.750 cm)² × 5.25 cm
V = 9.278 cm³