Question

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

V = 900π ft3; S = 4500π ft2
V = 4500π ft3; S = 900π ft2
V = 300π ft3; S = 900π ft2
V = 900π ft3; S = 300π ft2

Answer 1

The answer is going to be v= 4500ft3;S=900ft2

Answer 2

B (V = 4500π ft3; S = 900π ft2)

Explanation:

If the great circle's area is 225pi, that makes the radius sqrt225 = 15

The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi

The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi

That makes the answer B (V = 4500π ft3; S = 900π ft2)