Related Rates Visualizer
Height: Radius:

Values

$$ {\color{#9bb458}{V}} = \frac{1}{3} \pi {\color{#c0874b}{r}}^2 {\color{#59afb5}{h}}$$

Volume \( V \):

Radius \( r \):

Height \( h \):

Rates

$$ {\color{#9bb458}{\frac{dV}{dt}}} = \frac{1}{3} \pi \Big(2 r h {\color{#805b34}{\frac{dr}{dt}}} + r^2 {\color{#3c7478}{\frac{dh}{dt}}} \Big) $$

Volume Rate \( \frac{dV}{dt} \):

Radius Rate \( \frac{dr}{dt} \):

Height Rate \( \frac{dh}{dt} \):