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PIMSO 2022 - Mathematics - Senior Secondary - National Round Question 19

PIMSO Maths · PIMSO 2022 - Mathematics - Senior Secondary - National Round

Question 19

Hayley fills a spherical fishbowl with water up to the level indicated in the figure below. The radius of the entire sphere is 15 decimeters. If the height of the unfilled portion is h=3 decimeters while radius r=9 decimeter, what is the volume of the water in the fishbowl? (Leave π as it is or express your answer using π)

Question illustration

Input format: use pi, sqrt(...), ^ for powers, * for multiplication and / for division as needed.