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Food for thought

# Cutting spheres Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Problem

The sphere in the diagram has radius $r$ and is cut by two parallel planes distance $h$ apart.

One of these planes is at a distance $x$ from the “north pole” of the sphere, as shown in the diagram.

What is the surface area of the part of the sphere lying between these two parallel planes?