MensurationSurface Areas and Volumes

Melting & Recasting

Melt a sphere into small cones and count how many you get.

Sphere radius9 cm

Cone radius3 cm

Cone height4 cm

Sphere volume

3053.63cm³

Cone volume

37.7cm³

Number of cones

Melting & recasting — volume is conservedSphere volume: 3053.63 cm³

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In recasting problems the total volume stays the same, only the shape changes.

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