Question

If the volume of an orange is 288pi cm squared , then what is the radius of the fruit ?

Answer 1

Answer: $r=6\ cm$

Step-by-step explanation:

The volume of a sphere can be calculated with the following formula:

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

Where "V" is the volume and "r" is the radius.

In this case, you know that the volume of the orange is:

$V=288\pi$

Having this value, you can substitute it into the formula:

$288\pi=\frac{4}{3}\pi r^3$

Finally, you must solve for "r" in order to calculate the radius ot the orange.

This is:

$3(288\pi)=4\pi r^3\\\\\sqrt[3]{\frac{3(288\pi)}{4\pi } }=r\\\\r=6\ cm$