Question

find volume of sphere w/ surface area of 144 sq in

Answer 1

\[SA=4(\pi)r^2=144\]
\[V=\frac{ 4 }{ 3 }\pi(r^3)\]

Answer 2

surface area of a sphere is \(\large S=4 \pi r^2 \rightarrow r=\sqrt{\frac{S}{4\pi}} \)

so volume is: \(\large V=\frac{4}{3}\pi r^3= \frac{4}{3}\pi (\sqrt{\frac{S}{4\pi}})^3\)

Answer 3

thank you, lets see if i can work it.....