Question

MEDAL & FAN ANYBODY ?
If the radius of a sphere is tripled, then its volume will increase 27 times.
True
False

Answer 1

lets test it out
say our radius of the first sphere is 5 second sphere is 15

Answer 2

since we just did one with a radius of 5 we know that the volume of r=5 is 523.3333333....
now use 15 for r
\(\dfrac{4}{3}\pi 15^3\)

Answer 3

@sleepyjess i got 14130 if i was doing it right...

Answer 4

\(15^3=3375\\3375*\pi=10597.5\\10597.5*(4/3)=14129.999999=14130\)
so now do 523.3333*27 to see if it is equal
523.3333333*27=14129.9999999=14130

Answer 5

@sleepyjess what would i do from there ? Is it true or false ?

Answer 6

it is true since they are equal