A sphere and a cylinder have the same radius and height. The volume of the cylinder is
What is the volume of the sphere?





Formulas for calculating:
sphere's volume - [tex] V_{sphere}=\dfrac{4\pi r^3}{3} [/tex];
cylinder's volume - [tex] V_{cylinder}=\pi r^2h [/tex] .
Note that h=2r (height of the sphere consists of two radius).
Then [tex] V_{cylinder}=\pi r^2h=\pi r^2\cdot 2r=2\pi r^3 [/tex] .
Since [tex] V_{sphere}=\dfrac{4\pi r^3}{3} [/tex] you have that [tex] \pi r^3=\dfrac{3V_{sphere}}{4} [/tex] and [tex] V_{cylinder}=2\pi r^3=2\cdot \dfrac{3V_{sphere}}{4}=\dfrac{3V_{sphere}}{2} [/tex] .
You have only to substitute correct number for [tex] V_{sphere} [/tex].