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PIMSO 2023 - Mathematics - Grade 9 (Secondary 3) - National Round Question 24

PIMSO Maths · PIMSO 2023 - Mathematics - Grade 9 (Secondary 3) - National Round

Question 24

A class container is in the shape of a right circular cone that has a base of radius 12. The height of the cone is 12. If the container should be filled with water such that the water covers one-eighth of the cone’s maximum capacity, how high would the water be from the vertex? Assume that the vertex is placed at the bottom.

Editorial note: The source prints “class container”; this apparent typo does not affect the given cone.