The hot spheres

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If I have a sphere and I cut out a smaller sphere from in it, then I heat both the spheres to the same temperature. Will I be able to fit the smaller sphere to its original position inside the bigger sphere?

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100 Day Summer Challenge

The hot spheres

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Courses

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Community

100 Day Summer Challenge

The hot spheres

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, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

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

Master advanced concepts through explanations,
examples, and problems from the community.

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

Master advanced concepts through explanations,
examples, and problems from the community.

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