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05-05-2018
Mathematics

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A spherical ball of wax with a radius of 4 inches is melted and poured into a container shaped like a rectangular prism with a 6 inch x 6 inch base. What is the height of the melted wax in the new shape?

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05-05-2018

Volume of a sphere = 4/3 π r³

Volume of the spherical ball = 4/3 π (4)³ = 267.95 in³

Area of a rectangular prism = Length x Width x Height

267.95 = 6 x 6 x Height

Height = 267.95 ÷ 36 = 7.44 in

Answer: 7.44 inch

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