CAT 2017 Geometry & Mensuration Question (Medium)

Question

A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9 cm 3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is

Accepted Answer

Problem Analysis We are given a ball with a diameter of 4 cm, which means its radius is 2 cm. This ball is placed on top of a hollow cylinder. The cylinder has a height of 3 cm and a volume of cm. We need to find the vertical distance from the base of the cylinder to the topmost point of the ball. S

CAT 2017

Quantitative

Geometry & Mensuration

Medium

A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9 π cm 3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is:

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