Final answer:
To find the volume of a sphere with a given diameter, divide the diameter by 2 to find the radius. Then use the formula V = (4/3)πr³, where V is the volume and r is the radius. Substitute the radius into the formula to calculate the volume, and round the answer to the nearest tenth of a cubic centimeter.
Step-by-step explanation:
To find the volume of a sphere, you can use the formula V = (4/3)πr³, where V is the volume and r is the radius.
In this case, the diameter of the sphere is given as 57.1 cm.
To find the radius, you can divide the diameter by 2, so the radius is 57.1/2 = 28.55 cm. Now you can substitute the radius into the formula to find the volume:
V = (4/3)π(28.55 cm)³
Calculating this equation will give you the volume of the sphere.
Make sure to round the answer to the nearest tenth of a cubic centimeter, as specified in the question.