Answer:
the length of the radius is 5.75ft
Step-by-step explanation:
this problem bothers on the mensuration of solid shapes, a cone.
given data
volume of sphere v= 800ft^3
we know that the volume of a sphere is expresses as
v= [tex]4/3\pi r^3[/tex]
substituting the volume into the equation we can solve for r
800=4/3[tex]\pi[/tex]r^3
800*3= 4*3.142*r^3
2400= 12.56*r^3
2400/12.56= r^3
r^3= 191.1
r=[tex]\sqrt[3]{191.1}[/tex]
r= 5.75ft