derricklewis021508 derricklewis021508

12-05-2021
Mathematics

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Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x 10cm. Find the height of the cube filled with solution.

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thebecks thebecks

12-05-2021

Answer:

Height = 167.47 cm

Step-by-step explanation:

volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³

267.9467 cm³ x 100 spheres = 26794.67 cm³

volume of cube = L x W x H

26794.67 = 16 x 10 x H

H = 167.47 cm

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