Question

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?

Answer 1

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
 Answer:
 The weight of the sphere is:
 W = 201 pounds