Question

Find the radius of a sphere with a volume of 4.57 cubic centimeters.

The radius is ___ centimeters.

Answer 1

Answer:

$radius$ ≈ $1.029$ $cm$

Step-by-step explanation:

Knowing that the formula for the volume of a sphere is: $\frac{4}{3}\pi r^{3}$

We can set the equation equal to 4.57.

$\frac{4}{3}\pi r^{3}$$=4.57$

We divide both sides by $(\frac{4}{3}\pi)$ so we can get $r$ by itself.

$r^{3} =\frac{4.57}{\frac{4}{3} \pi }$

We simplify and get:

$r^{3} =\frac{13.71}{4\pi }$

Taking the cube root of both sides, we then get the radius:

$r=\sqrt[3]{\frac{13.71}{4\pi } }$

The approximate answer comes out to be:

$r$≈$1.029$