Answer:
r=2.9cm
Step-by-step explanation:
we know the formula, mass= density*volume
as a result we can figure out the volume = mass/density
=485/8 cm^3
=60.625cm^3
here comes another formula of volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex][tex]h^{}[/tex]
we will use this to find the radius,
[tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex][tex]h^{}[/tex]=60.625
[tex]\pi[/tex][tex]r^{2}[/tex][tex]h^{}[/tex]=181.875
h is 70mm which we will turn to 7cm
[tex]\pi[/tex][tex]r^{2}[/tex]*7=181.875
[tex]r^{2}[/tex]=8.27
r=2.875825cm
r=2.9cm
nice question. hope this helps