Final answer:
The volume of the cylindrical jar with a radius of 10 cm and height of 11.25 cm is 3536.25 cm³, and the surface area is 1418.75 cm².
Step-by-step explanation:
The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height of the cylinder. For a cylinder with a radius of 10 cm and a height of 11.25 cm, the volume V is:
V = 3.14 × (10 cm)² × 11.25 cm
V = 3.14 × 100 cm² × 11.25 cm
V = 3.14 × 1125 cm³
V = 3536.25 cm³
The surface area A of the cylinder can be found by adding the area of the two circular ends and the surface area of the side of the cylinder, which can be unfolded into a rectangle. The formula is A = 2πrh + 2πr². Substituting the given values:
A = 2 × 3.14 × 10 cm × 11.25 cm + 2 × 3.14 × (10 cm)²
A = 2 × 3.14 × 10 cm × 11.25 cm + 2 × 3.14 × 100 cm²
A = 2 × 35.14 × 11.25 cm + 628 cm²
A = 790.75 cm² + 628 cm²
A = 1418.75 cm²
Therefore, the volume of the cylindrical jar is 3536.25 cm³ and the surface area is 1418.75 cm².