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More Lessons on Calculus, More Lessons on College Calculus

A series of free Calculus Video Lessons: How to Calculate the Work Required to Drain a Tank Using Calculus, How to Using integration to calculate the amount of work done pumping fluid, how to find the work required to lift a rope to the top of a building.

Calculating the Work Required to Drain a Tank - Using Calculus

One complete example is shown along with a general procedure to follow.
Applications of Integrals - Pumping (Work)

Using integration to calculate the amount of work done pumping fluid.

Lifting a Leaky Bag of Sand

Demonstrates the use of integration to calculate the work done lifting a leaky bag of sand.
Finding Work using Calculus - The Cable/Rope Problem.

This video shows how to find the work required to lift a rope to the top of a building.

Finding Work using Calculus - The Cable/Rope Problem - Part b.

In this video, I find the work required to lift up only HALF of the rope to the top of the building.
Pump oil from inverted cone

Example: An inverted conical tank with a height of 20 m and a base diameter of 25 m contains oil with density 800 kg/m^{3}. The height of the oil is 10 m. How much work is involved in pumping all the oil out the top of the tank?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons on Calculus, More Lessons on College Calculus

A series of free Calculus Video Lessons: How to Calculate the Work Required to Drain a Tank Using Calculus, How to Using integration to calculate the amount of work done pumping fluid, how to find the work required to lift a rope to the top of a building.

Calculating the Work Required to Drain a Tank - Using Calculus

One complete example is shown along with a general procedure to follow.

Using integration to calculate the amount of work done pumping fluid.

Demonstrates the use of integration to calculate the work done lifting a leaky bag of sand.

This video shows how to find the work required to lift a rope to the top of a building.

In this video, I find the work required to lift up only HALF of the rope to the top of the building.

Example: An inverted conical tank with a height of 20 m and a base diameter of 25 m contains oil with density 800 kg/m

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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