Please help with confusing geometry very quickly!

Question

Identify the volume of the sphere in terms of π.

A.) V = 2250π cm³

B.) V = 225π cm³

C.) V = 3375π cm³

D.) V = 4500π cm³

Please help me very quickly!

Answer 1

Hello,

The volume of a sphere is (4/3) ·π · r ³

So all we need is the radius of the sphere to solve this. What's the radius?

r = 15 Let's plug that in to the formula for volume of a sphere.

V_sphere = (4/3) ·π · r ³ = (4/3) ·π · (15) ³ Be sure to use order of operations and do the exponent first, and then use a calculator to multiply. The answer has a pi in it, so you don't need to multiply by pi, that can stay.

Hope this helped! Let me know if you have any questions.

Margaret

Answer 2

The volume of a sphere = 4/3 * PI * Radius**3. Plug in 15 cm for radius into formula (4500 cm^3).