Answer:
see explanation
Step-by-step explanation:
Given
V = [tex]\frac{4}{3}[/tex]πr³ ( multiply both sides by 3 to clear the fraction )
3V = 4πr³ ( divide both sides by 4π )
[tex]\frac{3V}{4\pi }[/tex] = r³ ( take the cube root of both sides )
r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]
Given V = 100 , then
r = [tex]\sqrt[3]{\frac{300}{4\pi } }[/tex] ≠ 2.88 ft ( to the nearest hundredth )
