Answer:
[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]
Step-by-step explanation:
Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]
Given volume = 13.04 cm³
[tex]\implies 13.04=\dfrac43\pi r^3[/tex]
Multiply both sides by 3/4:
[tex]\implies 9.78=\pi r^3[/tex]
Divide both sides by [tex]\pi[/tex]:
[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]
Cube root both sides:
[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]
[tex]\implies r=1.460146149...[/tex]
[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]
