Molly wishes to make a lawn ornament in the form of a solid sphere. the clay being used to make the sphere weighs .075 pound per cubic inch. if the sphere's radius is 4 inches, what is the weight of the sphere, to the nearest pound?

The first thing we must do for this case is find the volume of the sphere.
 The volume is given by:
 V = (4/3) * (pi) * (r ^ 3)
 Where,
 A: Radius of the sphere
 Substituting values:
 V = (4/3) * (3.14) * (4 ^ 3)
 V = 267.95 in ^ 3
 Then, the weight of the sphere is:
 W = (267.95) * (0.75)
 W = 200.9625 pounds
 Round to the nearest pound:
 W = 201 pounds
 
 The weight of the sphere is:
 W = 201 pounds