A SPHERICAL CANNON BALL WITH A VOLUME OF 15 DECILITERS IS DROPPED INTO CUBIC BOX FILLED COMPLETELY WITH WATER. iF THE SPHERE TOUCHES ALL SIDES OF THE BOX, HOW MUCH WATER IS LEFT IN THE BOX WHEN THE CANNON BALL IS REMOVED?
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1364.59496 cm^3 Water is left in the the box when the Cannon Ball is removed:
-Volume of the Cannon Ball : 15 Deciliters = 1.5 L = 1500 cm^3
-Volume of the sphere = \frac{4}{3} πr^{3}
Since the ball touches all the sides of the cubic box after submerging, 2x radius of the ball will be the side of the cubic box.
radius of the ball = \sqrt[3]{\frac{15 X3X1000}{10 X 4\pi } } = 7.101 cm
Side of the cube is 2x 7.101= 14.202 cm
Volume of the cube is 2864.594996 cm^3
Water left after submerging the ball is 2864.59496-1500 cm^3= 1364.59496 cm^3.
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