Water is flowing in a pipe as depicted in the figure. What pressure is indicated on the up...

Express the relation for volume of the basket ball.

Here, V is the volume of the basket ball sphere and r is the radius of the sphere.

Substitute for r to find volume of the sphere.

Thus the volume of the sphere is .

(a)

Express the relation for the buoyant force on the basket ball.

Here, is the buoyant force acts on the basketball, is the density of the water, V is the volume of the basket ball sphere, and g is the acceleration due to gravity.

Substitute for , for V, and for g to find .

Therefore, the buoyant force acts on the basketball is .

(b)

Express the relation for the weight of the basket ball.

Here, W is the weight of the basket ball, m is the mass of the basket ball, and g is the acceleration due to gravity.

Substitute for m and for g to find weight.

Thus, the weight of the basketball is.

Express the relation for the drag force experiences on the basket ball while it moving upward at constant velocity.

Here, is the drag force experiences on the basketball, is the buoyant force acts on the basket ball, and W is the weight of the basket ball.

Substitute for W and for to find .

Therefore, the magnitude of drag force on the basketball is .