Question

The ratio of the volume of sphere A to the volume of sphere B is "TexFormula1" title="\frac{125}{64}" alt="\frac{125}{64}" align="absmiddle" class="latex-formula">
What is the ratio of the radius of sphere A to the radius of sphere B?

Answer 1

Answer:

Step-by-step explanation:

let radius of shere A=R

radius of sphere B=r

$\frac{volume~of~sphere ~A}{volume~of~sphere~B} =\frac{\frac{4}{3} \pi R^3}{\frac{4}{3} r^3} =\frac{125}{64} \\(\frac{R}{r} )^3=(\frac{5}{4} )^3\\\frac{R}{r} =\frac{5}{4}$