Respuesta :

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