Question

A sphere has a volume of 7,234.56 units^3. Using 3.14 for pi, find the radius of the sphere. Record your answer on the grid.

Answer 1

Answer:

r = 1728 units

Step-by-step explanation:

Volume of sphere:  V = (4/3)(pi)(r^3), were r is the radius.

Solving this for r^3, we get

      V                           V                          7234.56 units^3

------------- = r^3 = ----------------   so that   --------------------------

(4/3)(pi)                 (4/3)(3.14)                           4.19

Thus, r = 1728 units

Answer 2

The radius of the sphere has a volume of 7,234.56 units^3  is 1728 units.

We have the sphere has a volume of 7,234.56units^3

V=7,234.56units^3

What is the formula for the volume of a sphere?

 $V = (4/3)(pi)(r^3)$

Where r is the radius.

Solving this for r^3, we get

   $r^3=\frac{V}{(4/3)(pi) }\\\\r^3=\frac{V}{ (4/3)(3.14)} \\\\\\ r^3=\frac{ 7,234.56}{ 4.19}$  

             

    $r = 1728$

       

 Therefore we get the radius of the sphere is  r = 1728 units

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