Question

The surface area of a sphere is 113.04 mm2. What is the volume of the sphere? Use 3.14 for π and round to the nearest hundredth.

Answer 1

By definition, the surface area of the sphere is given by:
 $A = (4) * ( \pi ) * (r ^ 2)$ 
 Where,
 r: sphere radio
 Clearing r we have:
 $r = \sqrt{A / (4 * \pi )}$
 Substituting values:
 $r = \sqrt{113.04 / (4 * 3.14 )}$
 $r = 3 mm$
 Then, the volume of the sphere is given by:
 $V = (4/3) * (\pi) * (r ^ 3)$ 
 Substituting values we have:
 $V = (4/3) * (3.14) * (3 ^ 3) V = 113.04 mm ^ 3$
 Answer:
 the volume of the sphere is:
 $V = 113.04 mm ^ 3$

Answer 2

Answer:

volume of the sphere will be 113.04 mm³

Step-by-step explanation:

Surface area of a sphere is represented by

A = 4πr²

r² = $\frac{A}{4\pi }$

$r=\sqrt{\frac{A}{4\pi } } =\sqrt{\frac{113.04}{4*(3.14)} }=\sqrt{9}=3mm$

and volume of the sphere is

V = $\frac{4}{3}\pi r^{3}$

   =  $\frac{4}{3}\pi (3)^{3}$

   = 4π × 9

  = 36π

  = 36 (3.14)

  = 113.04 mm³

Therefore, volume of the sphere will be 113.04 mm³