Question

The volume of a sphere is 972 ft.

What is the radius of the sphere?
.
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Answer 1

r = 6.146

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

Answer 2

r =6.146 ft

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