Make y the subject of these equations.
by² = d
Jay = 6
ay - cy = d.
cy - b) = y

See all the answers  below.

Step-by-step explanation:

by² = d

Jay = 6

ay - cy = d.

cy - b) = y

Option A

by² = d

divide both side by b

y² = d/b

square both sides

y=√d/b

Option B

Jay = 6

Divide both sides by Ja

y= 6/Ja

Option C

ay - cy = d

y(a-c)=d

divide both sides by (a-c)

y= d/(a-c)

Option D

(cy - b) = y

y-cy=-b

y(1-c)=-b

y= -b/(1-c)

A machine consist of a half sphere and a cylinder, so the total volume is going to be given by:

Volume = Cylinder [in^3] + Half-sphere [in^3]

The volume of a cylinder is given by:

Vcylinder = πr^2h, where:

h: Height of the cylinder [in]

r: radius of the cylinder [in]

The volume of a sphere is given by:

Vsphere= 4/3πr^3, where:

r: Radius of the sphere [in]

Given that the machine consistsof a half sphere, then the radius of the half sphere is:

Vhalf-sphere= 4/6πr^3.

Therefore, the total volume is:

Total volume = Vhalf-sphere + Vcylinder

Total volume = 4/6πr^3 + πr^2h [inches^3]