Respuesta :

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