Identify the volume and surface area of a sphere with great circle area 225π ft2 in terms of π.

A: V = 4500π ft3; S = 900π ft2

B: V = 900π ft3; S = 300π ft2

C: V = 900π ft3; S = 4500π ft2

D: V = 300π ft3; S = 900π ft2

Given:

A circle with an area of 225 π square feet.

We need to determine the volume and surface area of a sphere derived from this circle.

A = πr^2

solve for r:

225 π = πr^2

225 = r^2

r = 15 feet

Volume of a sphere:

V = 4/3 π r^3

V = 4/3 π (15) ^3

V = 4500 π cubic feet

The surface area of a sphere:

SA = 4 πr^2

SA = 4 π * (15^2)

SA = 900 π square feet.

Therefore the answer of this problem is letter A:

A) A: V = 4500π ft3; S = 900π ft2