If the sphere shown has a radius of 4 units, then what is the volume of half of the sphere?

Question

If the sphere shown has a radius of 4 units, then what is the volume of half of the sphere?

The picture only shows a purple sphere

Answer 1

Brandon, the diagram may only show you a purple sphere, but they give you the math fact that the radius r = 4 units. Your geometry book will have the required formula V = (4/3) pi r cubed. This is the volume of the sphere. But careful- they ask for half the volume. So the answer would be 2/3 pi x cube of r units.

Answer 2

V = (4/3)πr³

Can you substitute 4 for r and calculate?