Final Answer:
The surface area of the sphere with a radius of 19 cm is approximately 4536 square cm, rounded to the nearest square cm. Its volume is approximately 28804 cubic cm, rounded to the nearest cubic cm.
Step-by-step explanation:
To find the surface area of a sphere, the formula is used: A = 4πr², where r represents the radius of the sphere. Substituting the given radius of 19 cm into the formula yields the surface area: A = 4 × π × 19². Calculating this gives the surface area as approximately 4536 square cm, rounded to the nearest square cm, representing the total area covering the entire surface of the sphere.
For the volume of a sphere, the formula V = (4/3)πr³ is applied, utilizing the given radius of 19 cm. Plugging this value into the formula results in V = (4/3) × π × 19³. Evaluating this expression gives the volume as approximately 28804 cubic cm, rounded to the nearest cubic cm. This represents the amount of space enclosed within the sphere.
Both calculations are performed using the respective formulas for surface area and volume of a sphere, where the radius value of 19 cm is substituted into the formulas to determine the total surface area and enclosed volume of the given sphere, rounded to the nearest square cm and cubic cm, respectively.