ACT Math : How to find the volume of a sphere

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors ibooks store

Example Questions

Example Question #11 : How To Find The Volume Of A Sphere

Find the volume of a sphere whose diameter is \displaystyle 4.

Possible Answers:

\displaystyle 256\pi

\displaystyle 64\pi

\displaystyle \frac{32}{3}\pi

\displaystyle \frac{64}{3}\pi

\displaystyle \frac{256}{3}\pi

Correct answer:

\displaystyle \frac{32}{3}\pi

Explanation:

To solve, simply use the formula for the volume of a sphere. Thus,

\displaystyle V=\frac{4}{3}\pi{r^3}=\frac{4}{3}*\pi*2^3=\frac{4}{3}*8*\pi=\frac{32}{3}\pi

Learning Tools by Varsity Tutors