Question

the volume of this sphere is 500 pi/3. what is its radius
Recall the formula sphere v= 4/3 pi r^3
PLS HELP

Answer 1

so you could do 500pi/3 = 4/3 pi r^3. then divide by 4/3pi to get 125 = r^3 and then cube root the 125. So the radius would be 5
Hope this helps!

Answer 2

The radius of the sphere is 5.

What is the volume of the sphere?

The volume of the sphere is given by the following formula;

$\rm Volume \ of \ sphere=\dfrac{4}{3}\pi r^3$

Where r is the radius of the sphere.

The given sphere is 500 pi/3.

The radius of the sphere is;

$\rm Volume \ of \ sphere=\dfrac{4}{3}\pi r^3\\\\\dfrac{500\pi }{3}=\dfrac{4}{3}\pi r^3\\\\ r^3 = \dfrac{ 500 \times \pi \times 3 }{4 \times \pi \times 3}\\\\ r^3= 125\\\\r^3=5^3\\\\r=5$

Hence, the radius of the sphere is 5.

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