Related Rates

AP Calculus AB· difficulty 3/5

r=4 h=10 water

A cone has radius 44 and height 1010. As water fills the cone, what is the relationship between water radius rr and depth hh?

  • A

    r=4hr = 4h

  • B

    r=2h5r = \tfrac{2h}{5}

    check_circle
  • C

    r=hr = h

  • D

    r=5h2r = \tfrac{5h}{2}

Explanation

By similar triangles, rh=410=25\frac{r}{h} = \frac{4}{10} = \frac{2}{5}, so r=2h5r = \frac{2h}{5}.

Want 10 more like this — adaptive to your weak spots?

Related questions