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MATH / A water-filled spherical balloon lands on a sidewalk, momentarily flattening to…

Problem

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problem

A water-filled spherical balloon lands on a sidewalk, momentarily flattening to a hemisphere. The ratio of the radius of the spherical balloon to the radius of the hemisphere can be expressed in the form a3\sqrt[3]{a} for some real number aa. Compute aa.
Plain-text mathematical notation (without MathML)
A water-filled spherical balloon lands on a sidewalk, momentarily flattening to a hemisphere.  The ratio of the radius of the spherical balloon to the radius of the hemisphere can be expressed in the form root[3](a) for some real number a.  Compute a.
Original LaTeX notation
A water-filled spherical balloon lands on a sidewalk, momentarily flattening to a hemisphere.  The ratio of the radius of the spherical balloon to the radius of the hemisphere can be expressed in the form $\sqrt[3]{a}$ for some real number $a$.  Compute $a$.

level

Level 5

type

Geometry

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