Final answer:
To find the volume of a sphere with a diameter of 19 cm, first calculate the radius (9.5 cm), then use the volume formula V = (4/3)πr^3 to get approximately 3594 cm^3.
Step-by-step explanation:
To calculate the volume of a sphere when given its diameter, we can use the formula for the volume of a sphere, which is V = (4/3)πr^3, where r is the radius of the sphere. Since the student has provided the diameter as 19 cm, we first find the radius by dividing the diameter by 2, which gives us a radius of 9.5 cm. We then plug this into our volume formula.
Thus, the calculation for the volume will be:
V = (4/3)π(9.5 cm)^3
V = (4/3)π(9.5 cm × 9.5 cm × 9.5 cm)
V = (4/3)π(857.375 cm^3)
V ≈ 3594.22 cm^3
Therefore, the volume of the sphere is approximately 3594 cm^3 to the nearest cubic centimetre.