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Half full of water by volume. How deep is the water in the cone if the height is 16 cm and base is 12 cm

asked
User Rodrigue
by
8.3k points

1 Answer

2 votes

Answer:

8∛4 ≈ 12.70 . . . . cm deep

Explanation:

The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...

∛(1/2)

times the height of the full cone.

The water will be ...

(16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep

answered
User Iwtu
by
8.4k points

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