High School Mathematics 4.22 Word Problems on Sphere - III
From a cube of side 7 cm., a largest possible sphere is made. What is its volume? Solution:
The diameter of the largest possible sphere = Side of the cube = 7 cm.
Therefore, radius of sphere = d/2 = 7/2 = 3.5 cm.
Therefore, Volume of the sphere = 4/3 * pi * r3
= 4/3 * 22/7 * 3.5 * 3.5 * 3.5
= 179.67 cu. cm.
Directions: Solve the following problems. Also write at least 5 examples of your own.