Final answer:
The volume of the solid is 172.01 cm³ and the surface area is 271.60 cm².
Step-by-step explanation:
To find the volume and surface area of the solid, we need to consider the cylinder and the two hemispheres separately.
1. Volume of the cylinder = πr²h
= 3.142 × (3.5 cm)² × 5.25 cm
= 60.49 cm³
2. Surface area of the cylinder = 2πrh + 2πr²
= 2 × 3.142 × 3.5 cm × 5.25 cm + 2 × 3.142 × (3.5 cm)²
= 116.94 cm²
3. Volume of each hemisphere
= (2/3)πr³ = (2/3) × 3.142 × (3.5 cm)³
= 56.26 cm³
4. Surface area of each hemisphere = 2πr²
= 2 × 3.142 × (3.5 cm)²
= 77.33 cm²
5. Total volume of the solid = Volume of the cylinder + 2 × Volume of each hemisphere
= 60.49 cm³ + 2 × 56.26 cm³ = 172.01 cm³
6. Total surface area of the solid = Surface area of the cylinder + 2 × Surface area of each hemisphere
= 116.94 cm² + 2 × 77.33 cm²
= 271.60 cm²