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ISEE Middle Level
Mathematics Achievement

Volume of a Melted Cylinder into a Sphere

Very Hard Measurement Volume

A solid metallic cylinder has a radius of 3 cm and a height of 14 cm. The volume of the cylinder can be found using the formula:

$$ V = ho r^2 h $$,
where $V$ is the volume, $r$ is the radius, and $h$ is the height. After being cast into a sphere, the cylinder is melted completely. Given that the volume of the sphere $V_s$ is given by the formula $$ V_s = \f\frac{4}{3} \pi r_s^3 $$, where $r_s$ is the radius of the sphere, what is the radius of the resulting sphere in centimeters?

Hint

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