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A cylindrical glass of height 25 cm and radius 4 cm has water up to a height of 16 cm. A crow wants to drink water from this glass. The water must be at a height of 20 cm for the crow to reach it. There are some marbles lying around. How many marbles of radius 1 cm should the crow drop into the glass to make the water reach the required height?

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The water must rise by 20 − 16 = 4 cm. Required rise volume is π(4²)(4) = 64π cm³. Each spherical marble has volume (4/3)π(1³) = (4/3)π cm³. Dividing 64π by (4/3)π gives exactly 48 marbles.

Ganita Manjari Part 2  Class 9 Chapter 14 Step by Step Solutions
Class 9 Chapter 14 Math of Space Surface Area and Volume (Ganita Manjari 2) Solutions

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