Question
A hemispherical bowl of inner radius 10 cm is filled with water. If the water is poured into a cylindrical container with a radius of 5 cm, what will be the height of the water level in the cylindrical container?
Solution
Volume of the hemisphere = (2/3) * π * r³ Where r = 10 cm: Volume = (2/3) * π * (10³) = (2/3) * π * 1000 = (2000/3)π cm³. Volume of the cylinder = π * r² * h Where r = 5 cm: (2000/3)π = π * (5²) * h (2000/3) = 25h h = (2000/3) / 25 = 26.67 cm. Correct option: b) 26.7 cm
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