Matheno - Learn Well and Excel

Blog

water drains from a cone (related rates problem)

Calculus Related Rates Problem: How fast is the water level falling as water drains from the cone? An inverted cone is 20 cm tall, has an opening radius of 8 cm, and was initially full of water. The water now drains from the cone at the constant rate of 15 cm$^3$ each second. The water’s… [read more]

Continue Reading »

Related Rates Problem – Cylinder Drains Water

A student recently wrote to ask if we’d help solve a common related rates problem about water draining from a cylindrical tank. The problem was something like this: Cylinder Drains Water. A cylinder filled with water has a 3.0-foot radius and 10-foot height. It is drained such that the depth of the water is decreasing… [read more]

Continue Reading »

Update September 2022


All of our content is now free, with the goal of supporting anyone who is working to learn Calculus well.

To access our materials, please simply visit our Calculus Home screen.


Also new: we've added a forum, Community.Matheno.com, also free to use.
If you need some help with a Calculus question, please post there and we'll do our best to assist!