Question

The volume of a sphere 800 cubic feet. Find the length of the radius.

Round to the nearest tenth and write the number answer only. *​

Answer 1

the length of the radius is 5.75ft

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=
`4/3\pi r^3`

substituting the volume into the equation we can solve for r

800=4/3
`\pi`r^3

800*3= 4*3.142*r^3

2400= 12.56*r^3

2400/12.56= r^3

r^3= 191.1

r=
`\sqrt[3]{191.1}`

r= 5.75ft