Question

What is the diameter of a sphere with a volume of 288 pi? Also can you show me the work

Answer 1

The volume of a sphere is 4/3(pi)r^3

V=4/3(pi)r^3
288(pi)=4/3(pi)r^3
Divide both sides by pi
288=4/3r^3
Multiply both sides by 3 to remove the lcd of 4/3
864=4r^3
Divide both sides by 4
216=r^3
Cube root both sides
6=r
Therefore the r or the radius is 6

The diameter is always 2 times the radius
d=2r
d=2(6)
d=12

Hope this helps ^_^