math

A glass cylinder with a radius of 7cm has water up to a height of 9cm. A mental cube of 5 1/2cm edge is immersed in it completly.calculate the height by which the water rises in the cylinder.

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1. The height of 9 cm in the original is not even needed.

Volume of cube = 5.5^3 cm^3 = 166.375 cm^3
volume change in cylinder = π(7^2)(h) cm^3
π(7^2)(h) = 166.375
h = ....

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Reiny
2. V = Vw + Vc = 3.14*7^2 * 9 + 5.5^3 = 1551.12 cm^3.
V = pi*r^2*h = 1551.12.
3.14*7^2*h = 1551.12,
h = 10.08 cm with cube immersed.
Change = 10.08 - 9 = 1.08 cm.

Reiny's method is shorter.

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