Question

If the volume is 1,774 2/3PIcm squared what is the radius of the sphere

Answer 1

Answer:

The radius of the sphere is 9.6 cm

Step-by-step explanation:

Given:

The volume  of the sphere =$1774 \frac{2}{3} \pi$

To Find:

The radius of the sphere = ?

Solution:

We know that the volume of the sphere is

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

where

r is the radius

Now we have the volume of the sphere

so

$1774 \frac{2}{3} \pi = \frac{4}{3}\pi r^3$

$1774 (\frac{2}{3}) = \frac{4}{3} r^3$

$1774 (\frac{2}{3})(\frac{3}{4}) = r^3$

$1774 (\frac{2}{4}) = r^3$

$1774 (\frac{1}{2}) = r^3$

$(\frac{1774}{2}) = r^3$

$887 = r^3$

r = 9.6