The volume of a sphere is 972 ft.
What is the radius of the sphere?
.
Enter your answer in the box.

r = 6.146

Step-by-step explanation:

formula for the volume is 4/3πr³

v = 4/3πr³   we adjust the equation for the r

r = ∛3v/4π

r= ∛3*972/4*3.14

r = 6.146

r =6.146 ft

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

We know the volume and we approximate pi by 3.14

972 = 3.14 r^3

Divide each side by 3.14

972/3.14 = 3.14 r^3 / 3.14

309.5541401 = 4/3 r^3

Multiply each side by 3/4

3/4*309.5541401 = 3/4*4/3 r^3

232.1656051 = r^3

Take the cube root of each side

(232.1656051) ^ 1/3 = r^3^ 1/3

6.146095348 =r

r =6.146 ft

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)