Brookem2000 Brookem2000
  • 27-03-2014
  • Mathematics
contestada

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

Respuesta :

deathstrike001
deathstrike001 deathstrike001
  • 27-03-2014
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 ^_^
Answer Link

Otras preguntas

a trampoline has an area 49pie square feet. what is the diameter of the trampoline
What must occur before clouds can form?
what is 15% of $5.80
Inverse VariationIf I varies inversely with R and I = 0.15 when R = 50, which equation should be used to show this relationship?   A.I=7.5/R  B.I=7.5R  C.IR=0.7
How do we write 230,451 in word form?
What is the pitch of a sound wave?
Amie published her first book. She was given $20,000 and an additional $0.15 for each copy that sold. Her earnings,d, in dollars,from the publication of the boo
when di voyagers 1 and 2 (u.s crafts) , leave for Jupiter, Saturn, Uranus,and neptune
Which is the ocean is the largest
How do you graph the line 2x+5y=20