Popeye Needs His Spinach

Calculus Level 2

Popeye loves his spinach. Popeye squeezes a can of his favorite spinach in such a way that it retains the shape of a cylinder and its volume remains constant, but the radius of the can decreases at \(1 \text{ cm}\) per second. How fast is the height of the can changing at the moment the can has a radius of \(4 \text{ cm}\) and a height of \(10 \text{ cm}?\)

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Popeye Needs His Spinach

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.