Answer:
B. [tex]\frac{4}{3}\pi (10)^3[/tex]
Step-by-step explanation:
Given:
A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters.
diameter of Sphere = 20 centimeters
hence radius = half of diameter = [tex]\frac{1}{2}\times 20 = 10\ cm[/tex]
Hence we need to find the volume of sphere.
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
Here r is the radius of the circle.
Hence Volume of sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]
Hence Option B [tex]\frac{4}{3}\pi (10)^3[/tex] is the correct answer.
