P is inversely proportional to the square of q. When q = 2, P = 12.8 (a) Find a formula for P in terms of q.

P = 51.2/ q

Step-by-step explanation:

Given :

P α 1/q²

P = k/q²

k = constant of proportionality

P = 12.8 ; q = 2

12.8 = k /2²

12.8 = k / 4

k = 12.8 * 4

k = 51.2

Formuka for P in terms of q :

P = 51.2/ q

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!