When a rock is completely submerged in water, kept in a cylinder of radius $3$ inches, the water level rises by $1.5$ inches. What is the volume of the rock?

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Answer 1 · 2017-11-14T14:25:23

Volume of rock is $13.5pi$ cubic inches

When a rock is completely submerged in water, the level of water rises by the increase in the volume of water.

As the radius of cylinder is $3$ inches and rise in level of water is $1.5$ inches,

increase in volume of water is $pixx3^2xx1.5=13.5pi$ cubic inches.

Hence, volume of rock is $13.5pi$ cubic inches.

When a rock is completely submerged in water, kept in a cylinder of radius 33 inches, the water level rises by 1.51.5 inches. What is the volume of the rock?